Maximal Function Methods for Sobolev Spaces

Juha Kinnunen

ISBN 10: 1470465752 ISBN 13: 9781470465759

Editorial: American Mathematical Society

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Descripci�n

2021. Paperback. . . . . . Books ship from the US and Ireland. N� de ref. del art�culo V9781470465759

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Sinopsis:

This book discusses advances in maximal function methods related to Poincar� and Sobolev inequalities, pointwise estimates and approximation for Sobolev functions, Hardy's inequalities, and partial differential equations. Capacities are needed for fine properties of Sobolev functions and characterization of Sobolev spaces with zero boundary values. The authors consider several uniform quantitative conditions that are self-improving, such as Hardy's inequalities, capacity density conditions, and reverse H�lder inequalities. They also study Muckenhoupt weight properties of distance functions and combine these with weighted norm inequalities; notions of dimension are then used to characterize density conditions and to give sufficient and necessary conditions for Hardy's inequalities. At the end of the book, the theory of weak solutions to the p -Laplace equation and the use of maximal function techniques is this context are discussed.

The book is directed to researchers and graduate students interested in applications of geometric and harmonic analysis in Sobolev spaces and partial differential equations.

Acerca del autor: Juha Kinnunen, Aalto University, Finland.

Juha Lehrback, University of Jyvaskyla, Finland.

Antti Vahakangas, University of Jyvaskyla, Finland.

"Sobre este t�tulo" puede pertenecer a otra edici�n de este libro.

Detalles bibliogr�ficos

T�tulo: Maximal Function Methods for Sobolev Spaces
Editorial: American Mathematical Society
Encuadernaci�n: Encuadernaci�n de tapa blanda
Condici�n: New

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Maximal Function Methods for Sobolev Spaces

Juha Kinnunen

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ISBN 10: 1470465752 ISBN 13: 9781470465759

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Maximal Function Methods for Sobolev Spaces

Kinnunen, Juha/ Lehrback, Juha/ Vahakangas, Antti

Publicado por Amer Mathematical Society, 2021

ISBN 10: 1470465752 ISBN 13: 9781470465759

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Maximal Function Methods for Sobolev Spaces

Juha Kinnunen|Juha Lehrback|Antti Vahakangas

Publicado por American Mathematical Society, 2022

ISBN 10: 1470465752 ISBN 13: 9781470465759

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Condici�n: New. Discusses advances in maximal function methods related to Poincare and Sobolev inequalities, pointwise estimates and approximation for Sobolev functions, Hardy s inequalities, and partial differential equations. N� de ref. del art�culo: 595975494

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Maximal Function Methods for Sobolev Spaces

Juha Kinnunen

Publicado por American Mathematical Society

ISBN 10: 1470465752 ISBN 13: 9781470465759

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Maximal Function Methods for Sobolev Spaces

Antti Vahakangas, Juha Kinnunen, Juha Lehrback

Publicado por American Mathematical Society, US, 2022

ISBN 10: 1470465752 ISBN 13: 9781470465759

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Paperback. Condici�n: New. This book discusses advances in maximal function methods related to Poincar� and Sobolev inequalities, pointwise estimates and approximation for Sobolev functions, Hardy's inequalities, and partial differential equations. Capacities are needed for fine properties of Sobolev functions and characterization of Sobolev spaces with zero boundary values. The authors consider several uniform quantitative conditions that are self-improving, such as Hardy's inequalities, capacity density conditions, and reverse H�lder inequalities. They also study Muckenhoupt weight properties of distance functions and combine these with weighted norm inequalities; notions of dimension are then used to characterize density conditions and to give sufficient and necessary conditions for Hardy's inequalities. At the end of the book, the theory of weak solutions to the p -Laplace equation and the use of maximal function techniques is this context are discussed.The book is directed to researchers and graduate students interested in applications of geometric and harmonic analysis in Sobolev spaces and partial differential equations. N� de ref. del art�culo: LU-9781470465759

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