圖書信息
出版社: 世界圖書出版公司; 第1版 (2011年4月1日)
外文書名: Singular Integrals and Related Topics
平裝: 272頁
正文語種: 英語
開本: 24
ISBN: 9787510032998
條形碼: 9787510032998
尺寸: 22.4 x 14.6 x 1.2 cm
重量: 340 g
內容簡介
《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。
讀者對象：數學專業高年級本科生和科研人員。
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
