FUNCTION SPACES AND POTENTIAL THEORY

Adams, David R. and Hedberg, Lars Inge

ISBN 10: 364208172X / ISBN 13: 9783642081729

Edité par Springer Science+Business Media, Berlin, Heidelberg, 2010

A propos de cet article

Octavo, viii, xi, 366 pages. In Very Good condition. Paperback binding. Spine yellow with dark blue lettering. Covers have very minimal wear. Text block has extremely faint wear to the edges. Second printing, corrected. NOTE: Shelved in Netdesk Column H, ND-H. 1379090. FP New Rockville Stock. N° de réf. du vendeur 1379090

Détails bibliographiques

Titre : FUNCTION SPACES AND POTENTIAL THEORY

Éditeur : Springer Science+Business Media, Berlin, Heidelberg

Date d'édition : 2010

Reliure : Softcover

Edition : Second Printing, Corrected.

A propos de ce titre

Présentation de l'éditeur:

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.