Variable Lebesgue Spaces: Foundations and Harmonic Analysis - Couverture souple

Livre 45 sur 88: Applied and Numerical Harmonic Analysis

Cruz-Uribe, David V.; Fiorenza, Alberto

9783034807579: Variable Lebesgue Spaces: Foundations and Harmonic Analysis

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ISBN 10 : 3034807570 ISBN 13 : 9783034807579

Editeur : Birkh�user, 2015

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Here is an accessible introduction to the theory of variable Lebesgue spaces, beginning with the development of the basic function space properties, moving through harmonic analysis on variable Lebesgue spaces to basic results about variable Sobolev spaces.

Les informations fournies dans la section � Synopsis � peuvent faire r�f�rence � une autre �dition de ce titre.

�diteur: Birkh�user
Date d'�dition: 2015
Langue: anglais
ISBN 10: 3034807570
ISBN 13: 9783034807579
Reliure: Broch�
Nombre de pages: 324
Coordonn�es du fabricant: ProductSafety@springernature.com
ProductSafety@springernature.com

Poststr. 9
Darmstadt
64293
Allemagne

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Variable Lebesgue Spaces (eng)

Cruz-Uribe, David V.

Edit� par Birkh�user, 2015

ISBN 10 : 3034807570 ISBN 13 : 9783034807579

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Variable Lebesgue Spaces

Alberto Fiorenza

Edit� par Springer Basel Mrz 2015, 2015

ISBN 10 : 3034807570 ISBN 13 : 9783034807579

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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book provides an accessible introduction to the theory of variable Lebesgue spaces. These spaces generalize the classical Lebesgue spaces by replacing the constant exponent p with a variable exponent p(x). They were introduced in the early 1930s but have become the focus of renewed interest since the early 1990s because of their connection with the calculus of variations and partial differential equations with nonstandard growth conditions, and for their applications to problems in physics and image processing. The book begins with the development of the basic function space properties. It avoids a more abstract, functional analysis approach, instead emphasizing an hands-on approach that makes clear the similarities and differences between the variable and classical Lebesgue spaces. The subsequent chapters are devoted to harmonic analysis on variable Lebesgue spaces. The theory of the Hardy-Littlewood maximal operator is completely developed, and the connections between variable Lebesgue spaces and the weighted norm inequalities are introduced. The other important operators in harmonic analysis - singular integrals, Riesz potentials, and approximate identities - are treated using a powerful generalization of the Rubio de Francia theory of extrapolation from the theory of weighted norm inequalities. The final chapter applies the results from previous chapters to prove basic results about variable Sobolev spaces. 324 pp. Englisch. N� de r�f. du vendeur 9783034807579

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Variable Lebesgue Spaces

David V. Cruz-Uribe|Alberto Fiorenza

Edit� par Springer Basel, 2015

ISBN 10 : 3034807570 ISBN 13 : 9783034807579

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Variable Lebesgue Spaces: Foundations and Harmonic Analysis

Cruz-Uribe, David V.; Fiorenza, Alberto

Edit� par Springer (India) Private Limited, 2015

ISBN 10 : 3034807570 ISBN 13 : 9783034807579

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Variable Lebesgue Spaces: Foundations and Harmonic Analysis

Cruz-Uribe, David V.; Fiorenza, Alberto

Edit� par Springer (India) Private Limited, 2015

ISBN 10 : 3034807570 ISBN 13 : 9783034807579

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Variable Lebesgue Spaces: Foundations and Harmonic Analysis

Cruz-Uribe, David V.; Fiorenza, Alberto

Edit� par Springer (India) Private Limited, 2015

ISBN 10 : 3034807570 ISBN 13 : 9783034807579

Neuf Couverture souple

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Variable Lebesgue Spaces

David V. Cruz-Uribe

Edit� par Birkh�user, Birkh�user M�r 2015, 2015

ISBN 10 : 3034807570 ISBN 13 : 9783034807579

Neuf Taschenbuch

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Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne

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Taschenbuch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -This book provides an accessible introduction to the theory of variable Lebesgue spaces. These spaces generalize the classical Lebesgue spaces by replacing the constant exponent p with a variable exponent p(x). They were introduced in the early 1930s but have become the focus of renewed interest since the early 1990s because of their connection with the calculus of variations and partial differential equations with nonstandard growth conditions, and for their applications to problems in physics and image processing.The book begins with the development of the basic function space properties. It avoids a more abstract, functional analysis approach, instead emphasizing an hands-on approach that makes clear the similarities and differences between the variable and classical Lebesgue spaces. The subsequent chapters are devoted to harmonic analysis on variable Lebesgue spaces. The theory of the Hardy-Littlewood maximal operator is completely developed, and the connections between variable Lebesguespaces and the weighted norm inequalities are introduced. The other important operators in harmonic analysis - singular integrals, Riesz potentials, and approximate identities - are treated using a powerful generalization of the Rubio de Francia theory of extrapolation from the theory of weighted norm inequalities. The final chapter applies the results from previous chapters to prove basic results about variable Sobolev spaces.�Springer Nature c/o IBS, Benzstrasse 21, 48619 Heek 324 pp. Englisch. N� de r�f. du vendeur 9783034807579

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Variable Lebesgue Spaces : Foundations and Harmonic Analysis

Alberto Fiorenza

Edit� par Springer Basel, 2015

ISBN 10 : 3034807570 ISBN 13 : 9783034807579

Neuf Taschenbuch

Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne

�valuation du vendeur 5 sur 5 �toiles

Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - This book provides an accessible introduction to the theory of variable Lebesgue spaces. These spaces generalize the classical Lebesgue spaces by replacing the constant exponent p with a variable exponent p(x). They were introduced in the early 1930s but have become the focus of renewed interest since the early 1990s because of their connection with the calculus of variations and partial differential equations with nonstandard growth conditions, and for their applications to problems in physics and image processing. The book begins with the development of the basic function space properties. It avoids a more abstract, functional analysis approach, instead emphasizing an hands-on approach that makes clear the similarities and differences between the variable and classical Lebesgue spaces. The subsequent chapters are devoted to harmonic analysis on variable Lebesgue spaces. The theory of the Hardy-Littlewood maximal operator is completely developed, and the connections between variable Lebesgue spaces and the weighted norm inequalities are introduced. The other important operators in harmonic analysis - singular integrals, Riesz potentials, and approximate identities - are treated using a powerful generalization of the Rubio de Francia theory of extrapolation from the theory of weighted norm inequalities. The final chapter applies the results from previous chapters to prove basic results about variable Sobolev spaces. N� de r�f. du vendeur 9783034807579

Contacter le vendeur