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Orlicz spaces and generalized Orlicz...

Harjulehto, Petteri.

Orlicz spaces and generalized Orlicz spaces

Record Type:	Electronic resources : Monograph/item
Title/Author:	Orlicz spaces and generalized Orlicz spacesby Petteri Harjulehto, Peter Hasto.
Author:	Harjulehto, Petteri.
other author:	Hasto, Peter.
Published:	Cham :Springer International Publishing :2019.
Description:	x, 169 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Orlicz spaces.
Online resource:	https://doi.org/10.1007/978-3-030-15100-3
ISBN:	9783030151003$q(electronic bk.)

Orlicz spaces and generalized Orlicz spaces
Harjulehto, Petteri.

Orlicz spaces and generalized Orlicz spaces[electronic resource] /by Petteri Harjulehto, Peter Hasto. - Cham :Springer International Publishing :2019. - x, 169 p. :ill., digital ;24 cm. - Lecture notes in mathematics,22360075-8434 ;. - Lecture notes in mathematics ;2035..

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 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.

ISBN: 9783030151003$q(electronic bk.)

Standard No.: 10.1007/978-3-030-15100-3doiSubjects--Topical Terms:

785737
Orlicz spaces.

LC Class. No.: QA323 / .H375 2019

Dewey Class. No.: 515.73

Orlicz spaces and generalized Orlicz spaces
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520 $a 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 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.
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