EAN: 9783030150990

Bilder-Quelle: discount24.de - Sport-Freizeit

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.

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