Function Spaces and Potential Theory - Couverture rigide

Adams

9783540570608: Function Spaces and Potential Theory

Couverture rigide

ISBN 10 : 3540570608 ISBN 13 : 9783540570608

Editeur : Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 2000

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The subject of this book is the interplay between function space theory and potential theory. The theory has reached a state of maturity and elegance by now that makes it natural to present it in book form. The book is accessible to graduate students with a good background in real analysis. No previous knowlegde of potential theory is assumed.

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Pr�sentation de l'�diteur

The subject of this book is the interplay between function space theory and potential theory. A crucial step in classical potential theory is the identification of the potential energy of a charge with the square of a Hilbert space norm. This leads to the Dirichlet space of locally integrable functions whose gradients are square integrable. More recently, a generalized potential theory has been developed, which has an analogous relationship to the standard Banach function spaces, Sobolev spaces, Besov spaces etc., that appear naturally in the study of partial differential equations. A surprisingly large part of classical potential theory has been extended to this nonlinear setting. The extensions are sometimes surprising, usually they are nontrivial and have required new methods.

Revue de presse

"..carefully and thoughtfully written and prepared with, in my opinion, just the right amount of detail included...will certainly be a primary source that I shall turn to." --Proceedings of the Edinburgh Mathematical Society

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

�diteur: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Date d'�dition: 2000
Langue: anglais
ISBN 10: 3540570608
ISBN 13: 9783540570608
Reliure: Reli�
Num�ro d'�dition: 1
Nombre de pages: 368
Coordonn�es du fabricant: non disponible
Personne responsable: CMN Printpool Inh. Mathis Neumann
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Function Spaces and Potential Theory

ADAMS, David R.; HEDBERG, Lars Inge

Edit� par Springer, 1999

ISBN 10 : 3540570608 ISBN 13 : 9783540570608

Ancien ou d'occasion Couverture rigide

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Hardcover. Etat : ex library-very good. Corrected Second Printing. Grundlehren der mathematischen Wissenschaftern 314. A Series of Comprehensive Studies in Mathematics. xi, 366 p. 24 cm. Ex library with labels on spine and front, ink stamps on top edge and title. N� de r�f. du vendeur 147842

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Function spaces and potential theory. Grundlehren der mathematischen Wissenschaften; 314.

Adams, David R.:

Edit� par Berlin, Springer, 2009

ISBN 10 : 3540570608 ISBN 13 : 9783540570608

Ancien ou d'occasion Couverture rigide

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Hardcover. Corr. 2. print., [Nachdr.]. XI, 366 p. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. C-04605 3540570608 Sprache: Englisch Gewicht in Gramm: 550. N� de r�f. du vendeur 2490842

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Function Spaces and Potential Theory.

ADAMS, DAVID R. U. LARS INGE HEDBERG.

Edit� par Springer, 1996

ISBN 10 : 3540570608 ISBN 13 : 9783540570608

Ancien ou d'occasion Couverture rigide

Vendeur : Antiquariat Dorner, Reinheim, Allemagne

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Berlin, Springer 1996. XI, 366 S., OPappband Sehr gutes Exemplar. N� de r�f. du vendeur 122208

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Function Spaces and Potential Theory. (= Grundlehren der mathematischen Wissenschaften - Band 314).

Adams, David R. and Lars Inge Hedberg:

Edit� par Springer, Berlin, Heidelberg, New York, 1996

ISBN 10 : 3540570608 ISBN 13 : 9783540570608

Ancien ou d'occasion Couverture rigide

Vendeur : Antiquariat Silvanus - Inhaber Johannes Schaefer, Ahrbr�ck, Allemagne

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XI, 366 pp., 3540570608 Sprache: Englisch Gewicht in Gramm: 680 Gro� 8�, Original-Pappband (Hardcover), Bibliotheks-Exemplar (ordnungsgem�� entwidmet) mit leichten R�ckst�nden vom R�ckenschild, Stempel auf Titel, insgesamt gutes und innen sauberes Exemplar, (library copy in good condition), N� de r�f. du vendeur 123685

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Function Spaces and Potential Theory (Grundlehren der mathematischen Wissenschaften, 314)

Adams, David R.

Edit� par Springer, 1995

ISBN 10 : 3540570608 ISBN 13 : 9783540570608

Ancien ou d'occasion Couverture rigide

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Etat : Good. Your purchase helps support Sri Lankan Children's Charity 'The Rainbow Centre'. Ex-library, so some stamps and wear, but in good overall condition. Our donations to The Rainbow Centre have helped provide an education and a safe haven to hundreds of children who live in appalling conditions. N� de r�f. du vendeur Z1-M-014-02401

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Function Spaces and Potential Theory (Grundlehren der mathematischen Wissenschaften, 314)

Adams, David R.; Hedberg, Lars I.

Edit� par Springer, 1995

ISBN 10 : 3540570608 ISBN 13 : 9783540570608

Neuf Couverture rigide

Vendeur : Ria Christie Collections, Uxbridge, Royaume-Uni

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Etat : New. In English. N� de r�f. du vendeur ria9783540570608_new

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Function Spaces and Potential Theory

Lars I. Hedberg

Edit� par Springer Berlin Heidelberg Nov 1995, 1995

ISBN 10 : 3540570608 ISBN 13 : 9783540570608

Neuf Couverture rigide

impression � la demande

Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne

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Buch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Function spaces, especially those spaces that have become known as Sobolev spaces, and their natural extensions, are now a central concept in analysis. In particular, they play a decisive role in the modem theory of partial differential equations (PDE). Potential theory, which grew out of the theory of the electrostatic or gravita tional potential, the Laplace equation, the Dirichlet problem, etc. , had a fundamen tal role in the development of functional analysis and the theory of Hilbert space. Later, potential theory was strongly influenced by functional analysis. More re cently, ideas from potential theory have enriched the theory of those more general function spaces that appear naturally in the study of nonlinear partial differential equations. This book is motivated by the latter development. The connection between potential theory and the theory of Hilbert spaces can be traced back to C. F. Gauss [181], who proved (with modem rigor supplied almost a century later by O. Frostman [158]) the existence of equilibrium potentials by minimizing a quadratic integral, the energy. This theme is pervasive in the work of such mathematicians as D. Hilbert, Ch. -J. de La Vallee Poussin, M. Riesz, O. Frostman, A. Beurling, and the connection was made particularly clear in the work of H. Cartan [97] in the 1940's. In the thesis of J. Deny [119], and in the subsequent work of J. Deny and J. L. 388 pp. Englisch. N� de r�f. du vendeur 9783540570608

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Function Spaces and Potential Theory

David R. Adams|Lars I. Hedberg

Edit� par Springer Berlin Heidelberg, 1995

ISBN 10 : 3540570608 ISBN 13 : 9783540570608

Neuf Couverture rigide

impression � la demande

Vendeur : moluna, Greven, Allemagne

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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. .carefully and thoughtfully written and prepared with, in my opinion, just the right amount of detail included.will certainly be a primary source that I shall turn to. Proceedings of the Edinburgh Mathematical Society|Function spaces, especially those . N� de r�f. du vendeur 4894173

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