Orlicz Spaces and Generalized Orlicz Spaces (Paperback, 1st ed. 2019)

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.

General

Imprint:	Springer Nature Switzerland AG
Country of origin:	Switzerland
Series:	Lecture Notes in Mathematics, 2236
Release date:	May 2019
First published:	2019
Authors:	Petteri Harjulehto • Peter Hastoe
Dimensions:	235 x 155mm (L x W)
Format:	Paperback
Pages:	169
Edition:	1st ed. 2019
ISBN-13:	978-3-03-015099-0
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis Promotions
LSN:	3-03-015099-2
Barcode:	9783030150990

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