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＜電子ブック＞
Orlicz Spaces and Generalized Orlicz Spaces / by Petteri Harjulehto, Peter Hästö
(Lecture Notes in Mathematics. ISSN:16179692 ; 2236)

版	1st ed. 2019.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2019
大きさ	X, 169 p. 9 illus : online resource
著者標目	*Harjulehto, Petteri author Hästö, Peter author SpringerLink (Online service)
件　名	LCSH:Measure theory LCSH:Functions of real variables LCSH:Functional analysis LCSH:Differential equations FREE:Measure and Integration FREE:Real Functions FREE:Functional Analysis FREE:Differential Equations
一般注記	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 HTTP:URL=https://doi.org/10.1007/978-3-030-15100-3

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