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Orlicz Spaces and Generalized Orlicz Spaces
Paperback
Series: Lecture Notes in Mathematics, Book 2236
ISBN13: 9783030150990
Publisher: Springer Nature
Published: May 8 2019
Pages: 169
Weight: 0.57
Height: 0.38 Width: 6.14 Depth: 9.21
Language: English
This book presents a systematic treatment of generalized Orlicz spaces (also known as Musielak-Orlicz spaces) with minimal assumptions on the generating Φ-function. It introduces and develops a technique centered on the use of equivalent Φ-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.
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