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Orlicz spaces and generalized Orlicz...

Harjulehto, Petteri.

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Orlicz spaces and generalized Orlicz spaces

Record Type:	Electronic resources : Monograph/item
Title/Author:	Orlicz spaces and generalized Orlicz spaces/ by 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

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 ;2236..

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

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

3242463
Orlicz spaces.

LC Class. No.: QA323 / .H375 2019

Dewey Class. No.: 515.73

Orlicz spaces and generalized Orlicz spaces
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100 1 $a Harjulehto, Petteri. $3 3411070
245 1 0 $a Orlicz spaces and generalized Orlicz spaces $h [electronic resource] / $c by Petteri Harjulehto, Peter Hasto.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2019.
300 $a x, 169 p. : $b ill., digital ; $c 24 cm.
490 1 $a Lecture notes in mathematics, $x 0075-8434 ; $v 2236
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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650 1 4 $a Measure and Integration. $3 891263
650 2 4 $a Real Functions. $3 891265
650 2 4 $a Functional Analysis. $3 893943
650 2 4 $a Partial Differential Equations. $3 890899
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