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Orlicz Spaces and Generalized Orlicz Spaces

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Orlicz Spaces and Generalized Orlicz Spaces Synopsis

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 Calderón-Zygmund operators. Finally, central results are provided for Sobolev spaces, including Poincaré and Sobolev-Poincaré 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.


About This Edition

ISBN: 9783030150990
Publication date:
Author: Petteri Harjulehto, Peter Hästö
Publisher: Springer an imprint of Springer International Publishing
Format: Paperback
Pagination: 169 pages
Series: Lecture Notes in Mathematics
Genres: Integral calculus and equations
Real analysis, real variables
Functional analysis and transforms
Differential calculus and equations