奇異積分和相關論題

《奇異積分和相關論題》是一部為分析專業的研究生量身定做的入門書籍。《奇異積分和相關論題：英文(影印版)》是以歐幾里得空間為背景，清晰明確的闡釋了奇異積分及其相關話題。後三章有大量作者在調和分析方面做出的科研成果和繼續研究所需要的背景材料。

基本介紹

• 書名：奇異積分和相關論題
• 原版名稱：Singular Integrals and Related Topics
• ISBN：9787510032998
• 頁數：272頁
• 出版社：世界圖書出版公司
• 出版時間：第1版 (2011年4月1日)
• 開本：24

目錄

preface

1 hardy-littlewood maximal operator

1.1 hardy-littlewood maximal operator

1.2 calderdn-zygmund decomposition

1.3 marcinkiewicz interpolation theorem

1.4 weighted norm inequalities

1.5 notes and references

2 singular integral operators

2.1 calderon-zygmund singular integral operators

2.2 singular integral operators with homogeneous kernels

2.3 singular integral operators with rough kernels

2.4 commutators of singular integral operators

2.5 notes and references

3 fractional integral operators

3.1 riesz potential

3.2 weighted boundedness of riesz potential

3.3 fractional integral operator with homogeneous kernels

3.4 weighted boundedness of tω,a

3.5 commutators of riesz potential

3.6 commutators of fractional integrals with rough kernels

3.7 notes and references

4 oscillatory singular integrals

4.1 oscillatory singular integrals with homogeneous smooth kernels

4.2 oscillatory singular integrals with rough kernels

4.3 oscillatory singular integrals with standard kernels

4.4 multilinear oscillatory singular integrals with rough kernels

4.5 multilinear oscillatory singular integrals with standard kernels

4.6 notes and references

5 littlewood-paley operator

5.1 littlewood-paley g function

5.2 weighted littlewood-paley theory

5.3 littlewood-paley g function with rough kernel

5.4 notes and references

bibliography

index