Orlicz spaces and generalized Orlicz spaces
Author(s)
Bibliographic Information
Orlicz spaces and generalized Orlicz spaces
(Lecture notes in mathematics, 2236)
Springer, c2019
Available at 35 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
L/N||LNM||2236200039115392
Note
Includes bibliographical references (p. 159-164) and index
Description and Table of Contents
Description
This book presents a systematic treatment of generalized Orlicz spaces (also known as Musielak-Orlicz spaces) with minimal assumptions on the generating -function. It introduces and develops a technique centered on the use of equivalent -functions. Results from classical functional analysis are presented in detail and new material is included on harmonic analysis. Extrapolation is used to prove, for example, the boundedness of Calderon-Zygmund operators. Finally, central results are provided for Sobolev spaces, including Poincare and Sobolev-Poincare inequalities in norm and modular forms.
Primarily aimed at researchers and PhD students interested in Orlicz spaces or generalized Orlicz spaces, this book can be used as a basis for advanced graduate courses in analysis.
Table of Contents
- Introduction.- -Functions. - Generalized Orlicz Spaces. - Maximal and Averaging Operators. - Extrapolation and Interpolation. - Sobolev Spaces. - Special Cases.
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