Maximal Functions Measuring Smoothness pdf epub mobi txt 电子书 下载 2025
出版者:American Mathematical Society
作者:Ronald A. DeVore
出品人:
页数:116
译者:
出版时间:1984
价格:USD 21.00
装帧:Electronic
isbn号码:9781470407032
丛书系列:memoirs of the american mathematical society
图书标签:
- 调和分析
- Sobolev_Space
- AppliedMath
- 实分析
- 调和分析
- 最大函数
- 光滑性
- 傅里叶分析
- 小波分析
- 函数逼近
- 测度论
- 泛函分析
- 数学分析
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具体描述
Maximal functions which measure the smoothness of a function are introduced and studied from the point of view of their relationship to classical smoothness and their use in proving embedding theorems, extension theorems and various results on differentiation. New spaces of functions which generalize Sobolev spaces are introduced.
Keywords and Phrases: Maximal functions, smoothness in several variables, Sobolev embeddings, extension theorems.
作者简介
目录信息
Glossary
Section 1. Introduction 1
Section 2. Maximal Functions 8
Section 3. Inequalities For Polynomials 16
Section 4. Additional Estimates 22
Section 5. The Calderon Maximal Operator And Peano Derivatives 29
Section 6. Smoothness Spaces 36
Section 7. Comparisions With Besov Spaces 47
Section 8. Interpolation 59
Section 9. Embeddings 68
Section 10. Extension Theorem 76
Section 11. Extensions For Domains With Minimally Smooth Boundary 93
Section 12. The Case 0 < p < 1 104
REFERENCES 114
· · · · · · (收起)
Section 1. Introduction 1
Section 2. Maximal Functions 8
Section 3. Inequalities For Polynomials 16
Section 4. Additional Estimates 22
Section 5. The Calderon Maximal Operator And Peano Derivatives 29
Section 6. Smoothness Spaces 36
Section 7. Comparisions With Besov Spaces 47
Section 8. Interpolation 59
Section 9. Embeddings 68
Section 10. Extension Theorem 76
Section 11. Extensions For Domains With Minimally Smooth Boundary 93
Section 12. The Case 0 < p < 1 104
REFERENCES 114
· · · · · · (收起)
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