伍火熊

伍火熊

伍火熊,博士,畢業於北京師範大學數學系,現任廈門大學數學學院教授。

基本介紹

  • 中文名:伍火熊
  • 畢業院校:北京師範大學
  • 學位/學歷:博士
  • 職業:教師
  • 專業方向:調和分析及其套用
  • 任職院校:廈門大學數學學院
個人經歷,主講課程,研究方向,學術成果,

個人經歷

2000年9月—2003年 7月:北京師範大學數學系讀博士研究生,獲理學博士學位
1990年9月—1993年 6月:北京師範大學數學系讀碩士研究生,獲理學碩士學位
1982年9月—1986年 6月:湖南師範大學數學系讀本科,獲理學學士學位
工作經歷:
2006年8月-- 現 在:廈門大學數學科學學院任教,教授
2014年 8月-- 2015年 8月:美國Wisconsin大學Milwaukee分校訪學,高級訪問學者
2007年10月--2008年 9月:澳大利亞Macquarie大學訪學,訪問學者
2003年7月—2006年 7月:廈門大學數學科學學院任教,副教授
1993年7月—2000年 8月:湖南省郴州師範高等專科學校(現湘南學院)數學系任教,歷任講師/副教授
1986年7月—1990年 8月:湖南省郴州師範高等專科學校(現湘南學院)數學系任教,助教
社會兼職:美國《Mathematical Reviews》和德國《Zentralblatt MATH》評論員;《Pure Mathematics 》編委; 廈門市數學會理事; 全國大學生數學建模競賽福建賽區組委會秘書長。

主講課程

《實變函式論》、《傅立葉分析及其套用》、《高等數學》(I,II)、《實分析》、《調和分析》(I, II, III)

研究方向

調和分析及其套用

學術成果

承擔的科研項目:13、國家自然科學基金(面上)項目(G11871101):《多線性運算元的若干重要問題的研究》, 2019.1--2022.12,主要成員(排名第二;主持人:薛慶營(北京師範大學));12、國家自然科學基金(面上)項目(G11771358):《基於運算元弱型端點估計的若干調和分析問題》, 2018.1--2021.12,主持;11、福建省自然科學基金(面上)項目(2015J01025):《多線性極大函式的正則性研究》, 2015.6--2018.5,主持;10、國家自然科學基金(面上)項目(G11471041)::《多線性運算元的有界性及其套用》, 2015.1—2018.12,主要成員(排名第二;主持人:薛慶營(北京師範大學));9、 國家自然科學基金(面上)項目(G11371295):《調和分析中離散化類似的若干問題》, 2014.1—2017.12,主持;8、 國家自然科學基金(面上)項目(G11071200):《相關於粗糙核奇異積分運算元的若干問題》, 2011.1—2013.12,主持;7、 福建省自然科學基金(面上)項目(2010J01013):《沿低維集的奇異積分及套用》,2010.7—2013.6, 主持;6、 國家自然科學基金(面上)項目(G10771054):《與磁場和電位勢相關的薛丁格運算元的調和分析問題》, 2008.1—2010.12,主要成員(排名第二;主持人:馬柏林(湖南大學));5、 國家自然科學基金(面上)項目(G10571122):《具反射不變測度空間上的調和分析》,2006.1—2008.12, 主要成員(排名第二;主持人:李中凱(首都師範大學));4、 福建省自然科學基金項目(Z05010004):《帶非卷積位相的振盪奇異積分》,2005.5—2007.4, 主持;3、 廈門大學引進人才科研啟動基金(X01105),2003.8-2005.7, 主持;2、 國家自然科學基金(面上)項目(G10271016):《奇異積分運算元及相關運算元研究與套用》,2003.1--2005.12,主要成員(排名第三;主持人:丁勇(北京師範大學));1、 湖南省高等院校青年骨幹教師科研基金, 1998--2001, 主持.
近年來發表的論文:119.On the mmixed radial-angular integrability of Marcinkiewicz integrals with roughkernels, (with Ronghui Liu, Feng Liu), Acta Math. Sci. (SCIE)118.A revisit on the compactness of commutators, (with Weichao Guo, Dongyong Yang),Canad. J. Math. (SCI)117. Weighted Lp-boundedness of singular integrals with rough kernels associated to surfaces, (with Ronghui Liu),J. Korea Math. Soc. (in press)(SCIE)116. On the commutators of Marcinkiewicz integrals with rough kernels in weighted Lebesgue spaces, (with Yongming Wen),Anal. Math. (in press)(SCI)115. Mixed radial-angular integrability for rough singular integrals and maximal operators, (with Ronghui Liu, Feng Liu),Proc. Amer. Math. Soc. (in press)(SCI)114.A note on multilinear pseudo-differential operators and iterated commutators, (withYongming Wen, Qingying Xue),Bull. Korea Math. Soc. (in press)(SCIE)113. The united theory for the bounded commutators and applications, (with Weichao Guo,Jiali Lian),J. Geom. Anal. (in press).(SCI)112.Limiting weak-type behaviors for certain classical operators in harmonic analysis,(with Weichao Guo, Jianxun He),Potential Anal.(inpress)(SCI)111. On rough singular integrals along real-analytic submanifolds, (with Fen Liu, Qingying Xue),Forum Math. 32(2) (2020),361-380(SCI)110. Weighted variation inequalities for singular integrals andcommutators, (with Yongming Wen, Jing Zhang),J. Math. Anal. Appl. 485(2) (2020), 123825, 16pp.(SCI)109. Weighted estimates for rough singular integrals with applications to angular integrability, II, (with Fen Liu, Ronghui Liu),Math. Inequal. Appl. 23(1) (2020), 393-418.(SCI)108.A note on maximal commutators with rough kernels, (with Yongming Wen, Weichao Guo, Guoping Zhao),C. R. Math. Acad. Sci. Paris 357(5) (2019), 424--435.(SCI)107. On the limiting weak-type behaviors for Riesz transforms and maximal operators in Bessel setting, (with Xianming Hou),Front. Math. China 14(3) (2019), 535--550.(SCIE)106.On the limiting weak-type behaviors for maximal operators associated to power weighted measure, (with Xianming Hou),Canad. Math. Bull. 62(2)(2019),313--326. (SCIE)105. Limitting weak-type behaviors for certain Littlewood-Paley functions, (with Xianming Hou),Acta Math. Sci. Ser. B39B(1) (2019), 11-25.(SCIE)104. Vector-valued estimates on limiting weak-type behaviors of singular integrals and maximal operators, (with Xianming Hou, Weichao Guo),J. Math. Anal. Appl. 472(2) (2019), 1293--1312.(SCI)103.On positive solutions of integral equations with the weighted Bessel potentials, (with Mingchun Wang, JIankai Xu),Comm. Pure Appl. Anal.18(2)(2019), 625--641(SCI)102.Boundedness and compactness characterizations of Riesz transform commutators on Morrey spaces in the Bessel setting,(with Suzhen Mao, Dongyong Yang),Anal. Appl. 17(1) (2019),145-178.(SCI)101. A note on the endpoint regularity of the discrete maximal operator, (with Feng Liu),Proc. Amer. Math. Soc.147(2)(2019), 583-596.(SCI)100.Oscillation and variation for Riesz transform associated withBessel operators, (withDongyong Yang and Jing Zhang),Proc. Roy. Soc.Edinburgh Sect. A 149(1)(2019), 169--190.(SCI)99. Limiting weak-type behaviors for parabolic singular integrals and related operators,(with Xianming Hou),Sci. Sin. Math. 48(10) (2018),1339-1354.98. Characterizations of weighted compactness of commutators via CMO(Rn), (with Dongyogn Yang),Proc. Amer. Math. Soc. 146(10)(2018), 4239-4254.(SCI)97. Compactness of Riesz transform commutator associated with Bessel operators, (with Xuan Thinh Duong, Ji Li, Suzhen Mao and Dongyong Yang),J. Anal. Math. 135(20)(2018), 639-673.(SCI)96. Variation inequalities related to Schrodinger operators on Morrey spaces, (with Jing Zhang),Chin. Ann. Math.39(6) (2018), 973-988.(SCIE)95. A note on discrete fractional integral operators over submanifolds, (with Suzhen Mao, Lijing Sun)Adv. Math (China),47(3) (2018),448-454.94. Sharp weighted convolution inequalities and some application,(with Weichao Guo, DashanFan and GuopingZhao),Studia Math. 241(3)(2018) ,201-239(SCI)93. Weighted oscillation and variation inequalities for singular integrals and commutators satisfying Hormander type conditions, (with Jing Zhang),Acta Math. Sin. Engl. Ser.33(10)(2017),1397–1420.(SCIE)92.Integrability and asymptotic behaviors of positive solutions for some integral equations,(with Jiankai Xu, Zhong Tan),Comm. Math. Sci.15(8)(2017),2099-2120(SCI)91.Singular integrals related to homogeneous mappings in Triebel-Lizorkin spaces, (with Feng Liu),J. Math. Inequal. 11(4) (2017), 1075-1097. (SCIE)90.Inclusion relations between modulation and Triebel-Lizorkin spaces, (with Weichao Guo, Guoping Zhao),Proc. Amer. Math. Soc.145(11) (2017), 4807-4820.(SCI)89. Regularity of discrete multisublinear fractional maximal functions, (with Feng Liu),Sci. China Math.60(8) (2017), 1461-1476.(SCI)88. Endpoint regularity of multilinear fractional maximal functions, (with Feng Liu),Canad. Math. Bull.60(3) (2017), 586-603(SCI)87.Characterization of inclusion relations between Wiener amalgam and some classical spaces, (with Wechao Guo, Qixiang Yang, Guoping Zhao),J. Funct. Anal.273(1) (2017), 404-443.(SCI)86. On the regularity of maximal operators supported by submanifolds, (with Feng Liu),J. Math. Anal. Appl. 453(1)(2017), 144-158.(SCI)85.Lbounds for Marcinkiewicz integrals associated to homogeneous mappings, (with Feng Liu),Monatsh. Math. 181(4) (2016),875-906.(SCI)84. Some properties of positive solutions for an integral system with the double weighted Riesz potentials, (with Jiankai Xu and Song Jiang),Comm. Pure Appl. Anal. 15(6)(2016), 2117-2134. (SCI)83. Transference of certain Maximal Hilbert transforms on Torus, (with Dashan Fan and Fayou Zhao),Pacific J. Math. 284(2)(2016), 343-364. (SCI)82.Characterization of functions via commutators of bilinear fractional integrals on Morrey spaces, (with Suzhen Mao),Bull. Korea Math. Soc.53(4) (2016), 1071-1085. (SCIE)81.Oscillation and variation for semigroups associated with Bessel operators, (with Dongyong Yang and Jing Zhang),J. Math. Anal. Appl. 443 (2016), 848-867. (SCI)80. A note on the endpoint regularity of the Hardy-Littlewood maximal functions,(with Feng Liu and Ting Chen),Bull. Aust. Math. Soc. 94 (2016) , 121-130. (SCIE)79.A T(b) type theorem on the weighted Herz-type Hardy spaces and applications, (with Jianmiao Ruan, Lijing Sun and Xiao Yu),Math. Nachr.289(8-9) (2016),1112-1130.(SCI)78. Boubdedness and compactness for commutators of bilinear Fourier multipliers, (with Suzhen Mao, Lijing Sun),Acta Math. Sin. (Chin. Ser.), 59(3)(2016), 317-330.77.Oscillation and variation inequalities for singular integrals and commutators on weighted Morrey spaces, (with Jing Zhang),Front. Math. China 2016, 11(2): 423-447. (SCIE)76. Sharpness of complex interpolation on a-modulation spaces, (with Weichao Guo, Dahsan Fan, Guoping Zhao),J. Fourier Anal. Appl. 2016, 22: 427--461. (SCI)75 Onrough singular integrals related to homogeneous mappings, (withFeng Liu, Suzhen Mao),Collect. Math.2016, 67(1), 113--132. (SCI)74. Sharpness of some properties of weighted modulation spaces, (with Weichao Guo, Dashan Fan, Guoping Zhao),Sci. China Math. 2016, 59(1): 169--190. (SCI)73.On the compactness of commutators for rough Marcinkiewicz integral operators, (with Suzhen Mao, Yoshihiro Sawano),Taiwanese J. Math. 2015, 19(6): 1777--1793. (SCI)72. Boundeness of certain singular integrals along surfaces on Triebel-Lizorkin spaces, (with Feng Liu, Daiqing Zhang),Forum Math. 2015, 27(6):3439--3460. (SCI)71. On the regularity of the multisublinear maximal functions, (with Feng Liu),Canad. Math. Bull. 2015, 58(4): 808--817. (SCI)70. Weak Hardy spaces WHL(R) associated to operators satisfyingK-Davies-Gaffney estimates, (with Jun Cao, Der-Chen Chang, Dachun Yang),J. Nonlinear Convex Anal. 2015, 16(7): 1205--1255. (SCI)69. Oscillation and variation inequalities for commutators of singular integrals with Lipschitz functions, (with Jing Zhang),J. Inequal. Appl. 2015, 2015:214, 21pp. (SCI)68. Pointwise estimates and boundedness of generalized Littlewood-Paley operators in BMO(R), (with Yurong Wu),Bull. Korean Math. Soc. 2015, 52(3): 851--864. (SCIE)67. Acriterion on oscillation and variation for the commutators of singular integral operatorscriterion, (with Feng Liu),Forum Math. 2015, 27(1):77--97.(SCI)66. Lp bounds for parametric Marcinkiewicz integrals with mixed homogeneity, (with Feng Liu, Daiqing Zhang),Math. Inequal. Appl. 2015, 18(2):453--469. (SCI)65. Radial symmetry and asymptotic behaviors of positive solutions for certain nonlinear integral equations, (with Jiankai Xu, Zhong Tang),J. Math. Anal. Appl. 2015, 427(1): 307--319. (SCI)64. A note on multilinear Muckenhoupt classes for multiple weights, (with Songqing Chen, Qingying Xue),Studia Math. 2014, 223(1), 1--18. (SCI)63. On the multilinear singular integrals and commutators in the weighted amalgam spaces, (with Feng Liu, Daiqing Zhang),J. Funct. Spaces 2014, Art. ID 686017, 12pp. (SCI)62. Rough singular integrals associated with surfaces of Van der Corput type, (with Feng Liu),Appl. Math. J. Chinese Univ. Ser. B 2014, 29(1):86-100. (SCI)61. The non-existence results for a class of integral equation, (with Jiankai Xu, Zhong Tan),J. Differential Equations2014, 256(5):1873--1902. (SCI)60. Parabolic singular integrals with rough kernels and extrapolation, (with Feng Liu),Sci. Sin. Math. (in Chinese), 44(5)(2014), 519-534.59. Rough singular integrals and maximal operators with mixed homogeneity along compoud curves, (with Feng Liu),Math. Nachr.2014, 287(10):1166--1182.(SCI)58. Rough singular integrals supported by submanifolds in Tribel-Lizorkin spaces and Besove spaces, (with Feng Liu),Taiwanese Math. J. 2014, 18(1):127--146. (SCI)57. On Marcinkiewicz integrals associated to compound mappings with rough kernels, (with Feng Liu),Acta Math. Sin. (Engl. Ser.), 2014, 30(7):1210--1230.(SCIE)56. Singular integrals and Marcinkiewicz integrals along compound curves on product domains, (with Senhua Lan, Feng Liu),Adv. Math. (China), 2014, 43(6):921--941.55. Boundedness of parametric Marcinkiewicz integrals with rough kerenls supported by compound subvarieties, (with Feng Liu, Daiqing Zhang),Acta Math. Sci. Ser. A Chin. Ed. 2014, 34(4): 1026--1039.54. On the Lboundedness for the multiple Littlewood–Paley functions with rough kernels, (with Feng Liu),J. Math. Anal. Appl. 2014, 410(1):403--410.(SCI)53. Rough Marcinkiewicz integrals with mixed homogeneity on product spaces, (with Feng Liu),Acta Math. Sin. (Engl. Ser.), 2013, 29(7):1231-1244.(SCIE)52. A note on rough singular integrals in Triebel-Lizorkin spaces and Besov spaces, (with Feng Liu, Daiqing Zhang),J. Inequal. Appl. 2013, 2013:492, 13pp. (SCI)51. Lipschitz estimates for the commutators of multilinear singular integrals withnNon-smoothkernels, (with Jiali Lian),Adv. Math. (China), 2013, 42(2): 1--15.50. Multiple weighted estimates for commutators of multilinear fractional integral operators, (with Songqing Chen),Sci. China Math. 2013, 56(9): 1879--1894.(SCI)49.Non-isotropic singular integrals and maximal operators along surfaces of revolution, (with Dashan Fan),Math. Inequal. Appl. 2013, 16(2):461--476.(SCIE)48.On the commutators of multilinear fractional integrals with weighted Lipschitz functions,(with Jiali Lian, Bolin Ma)Acta Math. Sci.,2013, 33A (2)47.Multiple singular integrals and Marcinkiewicz integrals with mixed homogeneity along surfaces, (with Feng Liu),J. Inequal. Appl.2012, 2012(189): 1-23.(SCI)46.Rough Marcinkiewicz integrals along certain smooth curves, (with Bolin Ma, Xiating Zhao),Front. Math. China.2012, 7(5): 857–872.(SCIE)45.Multiple weighted estimates for commutators of multilinear singular integrals with non-smooth kernels,(with Songqing Chen),J.Math.Anal.Appl. ,2012, 396:888-903.(SCI)44.A note on the generalized Marcinkiewicz integral operators with rough kernels,(with Yurong Wu),Acta Math. Sin. (Engl. Ser.) 2012, 28(12): 2395–2406.(SCIE)43.A class of singular Iitegrals on anisotropic Hardy spaces, (with Senhua Lan),ChineseAnn. Math., 2012, 33A(1): 1--11.42.Existenceof positive solution to a perturbed conformal invariant integral equation (in Chinese), (with Jiankai Xu, Zhong Tan),Sci Sin Math, 2012, 42(4):329--34041. Lbounds for singular integrals with rough kernels on product domains, (with Dashan Fan, Li Ma),Acta Math. Sin. (Engl. Ser.) 28(1)(2012),133-144.(SCIE)40.Weighted Lestimates for rough oscillatory singular integrals with non-convol -ution phases, (with Cao Muliang and Zhao Xiating),J. Math. Study 44(4) (2011),39.A class of singular integral operators associated to surfaces of revolution, (with Muliang Cao),Advances in Pure Mathematics 1(2011),334—339.38.Rough multiple singular integrals along hypersurfaces, (with Deng Liurui, Li Zhongkai, Ma Bolin),Acta Math. Sci. 31B(5) (2011),2081-2098.(SCIE)37.Commutators of weighted Lipschitz functions and multilinear singular integrals with non-smooth kernels, (with Jiali Lian and Bolin Ma),Appl. Math. J. Chinese Univ. 26B(3) (2011),353-367(SCIE)36.Vector-valued inequalities for the commutators of singular integrals with rough kernels, (with Lin Tang),J. Korean Math. Soc. 48(4) (2011), 703—725.(SCIE)35.Oscillatory integrals on unit square along surfaces,(with Jiecheng Chen, Dashan Fan and Xiangrong Zhu),Front. Math. China 6(1) (2011),49--59.(SCIE)34.Multilinear commutators of BMO functions and multilinear singular integrals with non-smooth kernels,(with Jiali Lian, Ji Li),Appl. Math. J. Chinese Univ. 26B(1) (2011), 109-120。(SCIE)33.On the generalized Marcinkiewicz integral operators with rough kernels, (with Dashan Fan),Canad. Math. Bull.54(1) (2011),100-112.(SCIE)32.Maximal operators and singular integrals with non-isotropic dilation on product domains, (with Zhongkai Li, Bolin Ma),Acta Math. Sin.(Engl. Ser.) 26(10)(2010),1847--1864.(SCIE)31.On rough Marcinkiewicz integrals along surfaces, (with Jiankai Xu),Acta Math. Sin.(Engl.Ser.) 26(4)(2010),717—730.(SCIE)30.An interpolation theorem related to the Hardy space with non-doubling measure, (with Guoen Hu and Jiali Lian),Taiwanese Math. J. 13(5)(2009),1609—1622.(SCI)29.Non-standard commutators for rough oscillatory singular integrals,Anal. Theory Appl. 25(3) (2009), 230—241.28.Weighted weak type estimates for commutators of fractional integrals on spaces of homogeneous type, (with Wang Weihong),Acta Math. Sci.29A(3) (2009),553-563.27. L-boundedness for the commutators of rough oscillatory singular integrals with non-convolution phases,J.Korean Math.Soc.46(3) (2009),577--588.(SCIE)26.Rough Marciniewicz integrals associated to surfaces of revolution on product domains,(with Xu Jiankai),Acta Math. Sci.29B(2)(2009), 294—304.(SCIE)25. A class of commutators for multilinear fractional integrals in non-homogeneous spaces,(with Jiali Lian),J. Inequal. Appl. Vol. 2008,Article ID 373050,p.17.(SCI)24.Certain oscillatory integrals on unit square and their applications, (with Dashan Fan),Sci.inChinaSer. A: Math. 51(10) (2008), 1895--1903.(SCI)23.On multiple singular integrals along polynomial curves with rough kernels,(with Yang Shanzi),Acta Math.Sin. (Engl. Ser.)24(2) (2008),177-18.(SCIE)22.Lbounds for singular integrals associated to surfaces of revolution on product domains, (with Yang Shanzhi),Anal.Theory Appl.23(4) (2007),389-400.21.Arough multiple Marcinkiewicz integral along continuous surface,Tohoku Math. J. 59(2) (2007), 145-166.(SCI)20. L-estimates for the commutators of Marcinkiewicz integrals with kernels belonging to certain block spaces,Math.Nachr.279(9-10)(2006),1128-1144.(SCI)19.Boundedness of multiple Marcinkiewicz integrals with rough kernels,J.Korean Math. Soc. 43(3)(2006),635—658.(SCIE)18.Lbounds for Marcinkiewicz integrals associated to surfaces of revolution,J. Math. Anal. Appl. 321(2)(2006),811--827. (SCI)17.General Littlewood-Paley functions and singular integrals on product spaces,Math. Nachr. 279(4) (2006), 431--444.(SCI)16.Weak type (H,L) estimate on the commutators of Marcinkiewicz integrals, (with Zhang Pu),Appl. Math. J. Chinese Univ. 20B(4), (2005), 455--461.15. On multiple Marcinkiewicz integrals related to block spaces,Acta Math. Sin.(Chinese Ser.) 48(6) (2005) ,1233—1250.14.A Lipschitz estimate for Multilinear oscillatory singular integrals with rough kernels,Acta Math. Sci.25B(4) (2005),761-770.(SCIE)13.On Marcinkiewicz integral operators with rough kernels,Integr. Equ. Oper. Theory 52(2) (2005), 285--298.(SCI)12.Boundedness of higher order commutators of oscillatory singular integrals with rough kernels,Studia Math.167(2005), 29-43.(SCI)11.On multilinear oscillatory singular integrals with rough kernels,J. Math. Anal. Appl. 296(2) (2004), 279-294.(SCI)10.A class of multilinear oscillatory singular integrals related to block spaces, (with Shanzhen Lu),Tohoku Math. J. 56(3) (2004), 299-315.(SCI)9.On the commutators of singular integrals related to block spaces, (with Shanzhen Lu),Nagoya Math. J.173 (2004), 205-223.(SCI)8.Multilinear singular integrals with rough kernels, (with Shanzhen Lu andPu Zhang ),Acta Math. Sin. (Engl. Ser.)19(1) (2003), 51--62.(SCIE)7.Oscillatory singular integrals and commutators with rough kernels, (with Shanzhen Lu),Ann. Sci. Math. Quebec 27(1) (2003), 47-66.6.On parametric Marcinkiewicz functions with rough kernels,(with Zhang Pu),Appl. Math. J. Chinese Univ. 18B(3) (2003), 258-266.5.Boundedness of multilinear fractional integrals operators with rough kernels on weighted Herz spaces,Adv. in Math.( in Chinese)32(4) (2003), 489-497.4.L-boundedness of a Marcinkiewicz integral related to block spaces on product domains,J. Beijing Normal Univ. (Natural Sci. )(in Chinese)39(2) (2003), 149-154.3.Approximation by Stancu-Kantorovich operators in Ba spaces,(with Zhu Lizhi),Acta Math. Appl. Sinica (Chinese)25(2) (2002), 303-311.2.L-boundedness for a class of rough singular integrals on product domains,J. Beijing Normal Univ.(Natural Sci.) (in Chinese)38(4) (2002), 432-439.1.Boundedness of higher order commutators for a class of rough operators on weighted Herz spaces,J. Beijing Normal Univ.(Natural Sci.) (in Chinese)37(3) (2001), 299-306.

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