Analytic Capacity, the Cauchy Transform, and Non-homogeneous Calder�n–Zygmund Theory - Couverture souple

Livre 132 sur 169: Progress in Mathematics

Tolsa, Xavier

9783319345444: Analytic Capacity, the Cauchy Transform, and Non-homogeneous Calder�n–Zygmund Theory

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ISBN 10 : 3319345443 ISBN 13 : 9783319345444

Editeur : Birkh�user, 2016

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This book studies some of the groundbreaking advances that have been made regarding analytic capacity and its relationship to rectifiability. It provides a unified approach to the material and simplified proofs.

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

� propos de l?auteur

Xavier Tolsa is Research Professor of Mathematics from ICREA - Universitat Aut�noma de Barcelona. He is the author of many research papers in connection with the topics discussed in this book. The present monograph was awarded the 2013 Ferran Sunyer i Balaguer Prize.

Les informations fournies dans la section � A propos du livre � peuvent faire r�f�rence � une autre �dition de ce titre.

�diteur: Birkh�user
Date d'�dition: 2016
Langue: anglais
ISBN 10: 3319345443
ISBN 13: 9783319345444
Reliure: Broch�
Nombre de pages: 412
Coordonn�es du fabricant: non disponible
Personne responsable: non disponible

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9783319005959: Analytic Capacity, the Cauchy Transform, and Non-homogeneous Calderon-Zygmund Theory

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Analytic Capacity, the Cauchy Transform, and Non-homogeneous Calder�n-Zygmund Theory (Progress in Mathematics, 307)

Tolsa, Xavier

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Analytic Capacity, the Cauchy Transform, and Non-homogeneous Calder�n�Zygmund Theory

Xavier Tolsa

Edit� par Springer International Publishing Aug 2016, 2016

ISBN 10 : 3319345443 ISBN 13 : 9783319345444

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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book studies some of the groundbreaking advances that have been made regarding analytic capacity and its relationship to rectifiability in the decade 1995-2005. The Cauchy transform plays a fundamental role in this area and is accordingly one of the main subjects covered. Another important topic, which may be of independent interest for many analysts, is the so-called non-homogeneous Calder�n-Zygmund theory, the development of which has been largely motivated by the problems arising in connection with analytic capacity. The Painlev� problem, which was first posed around 1900, consists in finding a description of the removable singularities for bounded analytic functions in metric and geometric terms. Analytic capacity is a key tool in the study of this problem. In the 1960s Vitushkin conjectured that the removable sets which have finite length coincide with those which are purely unrectifiable. Moreover, because of the applications to the theory of uniform rational approximation, he posed the question as to whether analytic capacity is semiadditive. This work presents full proofs of Vitushkin's conjecture and of the semiadditivity of analytic capacity, both of which remained open problems until very recently. Other related questions are also discussed, such as the relationship between rectifiability and the existence of principal values for the Cauchy transforms and other singular integrals. The book is largely self-contained and should be accessible for graduate students in analysis, as well as a valuable resource for researchers. 412 pp. Englisch. N� de r�f. du vendeur 9783319345444

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Analytic Capacity, the Cauchy Transform, and Non-homogeneous Calder�n-Zygmund Theory (Progress in Mathematics, 307)

Tolsa, Xavier

Edit� par Birkh�user, 2016

ISBN 10 : 3319345443 ISBN 13 : 9783319345444

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Analytic Capacity, the Cauchy Transform, and Non-homogeneous Calder�n-Zygmund Theory (Progress in Mathematics)

Xavier Tolsa

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Analytic Capacity, the Cauchy Transform, and Non-homogeneous Calder�n-Zygmund Theory

Xavier Tolsa

Edit� par Springer International Publishing, 2016

ISBN 10 : 3319345443 ISBN 13 : 9783319345444

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Analytic Capacity, the Cauchy Transform, and Non-homogeneous Calder�n-Zygmund Theory

Xavier Tolsa

Edit� par Springer International Publishing, Springer International Publishing, 2016

ISBN 10 : 3319345443 ISBN 13 : 9783319345444

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Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - This book studies some of the groundbreaking advances that have been made regarding analytic capacity and its relationship to rectifiability in the decade 1995-2005. The Cauchy transform plays a fundamental role in this area and is accordingly one of the main subjects covered. Another important topic, which may be of independent interest for many analysts, is the so-called non-homogeneous Calder�n-Zygmund theory, the development of which has been largely motivated by the problems arising in connection with analytic capacity. The Painlev� problem, which was first posed around 1900, consists in finding a description of the removable singularities for bounded analytic functions in metric and geometric terms. Analytic capacity is a key tool in the study of this problem. In the 1960s Vitushkin conjectured that the removable sets which have finite length coincide with those which are purely unrectifiable. Moreover, because of the applications to the theory of uniform rational approximation,he posed the question as to whether analytic capacity is semiadditive. This work presents full proofs of Vitushkin's conjecture and of the semiadditivity of analytic capacity, both of which remained open problems until very recently. Other related questions are also discussed, such as the relationship between rectifiability and the existence of principal values for the Cauchy transforms and other singular integrals. The book is largely self-contained and should be accessible for graduate students in analysis, as well as a valuable resource for researchers. N� de r�f. du vendeur 9783319345444

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Analytic Capacity, the Cauchy Transform, and Non-homogeneous Calder�n-Zygmund Theory

Xavier Tolsa

Edit� par Springer International Publishing, Springer International Publishing Aug 2016, 2016

ISBN 10 : 3319345443 ISBN 13 : 9783319345444

Neuf Taschenbuch

Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne

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Taschenbuch. Etat : Neu. Neuware -This book studies some of the groundbreaking advances that have been made regarding analytic capacity and its relationship to rectifiability in the decade 1995�2005. The Cauchy transform plays a fundamental role in this area and is accordingly one of the main subjects covered. Another important topic, which may be of independent interest for many analysts, is the so-called non-homogeneous Calder�n-Zygmund theory, the development of which has been largely motivated by the problems arising in connection with analytic capacity. The Painlev� problem, which was first posed around 1900, consists in finding a description of the removable singularities for bounded analytic functions in metric and geometric terms. Analytic capacity is a key tool in the study of this problem. In the 1960s Vitushkin conjectured that the removable sets which have finite length coincide with those which are purely unrectifiable. Moreover, because of the applications to the theory of uniform rational approximation,he posed the question as to whether analytic capacity is semiadditive. This work presents full proofs of Vitushkin�s conjecture and of the semiadditivity of analytic capacity, both of which remained open problems until very recently. Other related questions are also discussed, such as the relationship between rectifiability and the existence of principal values for the Cauchy transforms and other singular integrals. The book is largely self-contained and should be accessible for graduate students in analysis, as well as a valuable resource for researchers.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 412 pp. Englisch. N� de r�f. du vendeur 9783319345444

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