| 书目名称 | Variable Lebesgue Spaces |
| 副标题 | Foundations and Harm |
| 编辑 | David V. Cruz-Uribe,Alberto Fiorenza |
| 视频video | http://file.papertrans.cn/981/980505/980505.mp4 |
| 概述 | Proofs are developed in detail, illustrating the standard techniques used in the field?.Accessible for research mathematicians as well as graduate students.Provides a thorough and up to date bibliogra |
| 丛书名称 | Applied and Numerical Harmonic Analysis |
| 图书封面 |  |
| 描述 | .This book provides an accessible introduction to the theory of variable Lebesgue spaces. These spaces generalize the classical Lebesgue spaces by replacing the constant exponent .p. with a variable exponent .p.(.x.)... They were introduced in the early 1930s but have become the focus of renewed interest since the early 1990s because of their connection with the calculus of variations and partial differential equations with nonstandard growth conditions, and for their applications to problems in physics and image processing. .The book begins with the development of the basic function space properties. It avoids a more abstract, functional analysis approach, instead emphasizing an hands-on approach that makes clear the similarities and differences between the variable and classical Lebesgue spaces. The subsequent chapters are devoted to harmonic analysis on variable Lebesgue spaces. The theory of the Hardy-Littlewood maximal operator is completely developed, and the connections between variable Lebesgue spaces and the weighted norm inequalities are introduced. The other important operators in harmonic analysis - singular integrals, Riesz potentials, and approximate identities - are |
| 出版日期 | Book 2013 |
| 关键词 | Banach Function Spaces; Extrapolation Theory; Hardy-Littlewood Maximal Operator; Harmonic Analysis; Vari |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-0348-0548-3 |
| isbn_softcover | 978-3-0348-0757-9 |
| isbn_ebook | 978-3-0348-0548-3Series ISSN 2296-5009 Series E-ISSN 2296-5017 |
| issn_series | 2296-5009 |
| copyright | Springer Basel 2013 |
|Archiver|手机版|小黑屋|
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