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Gaussian capacity analysis

Liu, Liguang.

Gaussian capacity analysis

Record Type:	Electronic resources : Monograph/item
Title/Author:	Gaussian capacity analysisby Liguang Liu ... [et al.].
other author:	Liu, Liguang.
Published:	Cham :Springer International Publishing :2018.
Description:	ix, 108 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Gaussian processes.
Online resource:	https://doi.org/10.1007/978-3-319-95040-2
ISBN:	9783319950402$q(electronic bk.)

Gaussian capacity analysis
Gaussian capacity analysis[electronic resource] /by Liguang Liu ... [et al.]. - Cham :Springer International Publishing :2018. - ix, 108 p. :ill., digital ;24 cm. - Lecture notes in mathematics,22250075-8434 ;. - Lecture notes in mathematics ;2035..

Gaussian Sobolev p-space -- Gaussian Campanato (p, k)-class -- Gaussian p-capacity -- Restriction of Gaussian Sobolev p-space -- Gaussian 1-capacity to Gaussian �?-capacity -- Gaussian BV-capacity.

This monograph develops the Gaussian functional capacity theory with applications to restricting the Gaussian Campanato/Sobolev/BV space. Included in the text is a new geometric characterization of the Gaussian 1-capacity and the Gaussian Poincare 1-inequality. Applications to function spaces and geometric measures are also presented. This book will be of use to researchers who specialize in potential theory, elliptic differential equations, functional analysis, probability, and geometric measure theory.

ISBN: 9783319950402$q(electronic bk.)

Standard No.: 10.1007/978-3-319-95040-2doiSubjects--Topical Terms:

211434
Gaussian processes.

LC Class. No.: QA274.4

Dewey Class. No.: 519.23

Gaussian capacity analysis
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245 0 0 $a Gaussian capacity analysis $h [electronic resource] / $c by Liguang Liu ... [et al.].
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2018.
300 $a ix, 108 p. : $b ill., digital ; $c 24 cm.
490 1 $a Lecture notes in mathematics, $x 0075-8434 ; $v 2225
505 0 $a Gaussian Sobolev p-space -- Gaussian Campanato (p, k)-class -- Gaussian p-capacity -- Restriction of Gaussian Sobolev p-space -- Gaussian 1-capacity to Gaussian �?-capacity -- Gaussian BV-capacity.
520 $a This monograph develops the Gaussian functional capacity theory with applications to restricting the Gaussian Campanato/Sobolev/BV space. Included in the text is a new geometric characterization of the Gaussian 1-capacity and the Gaussian Poincare 1-inequality. Applications to function spaces and geometric measures are also presented. This book will be of use to researchers who specialize in potential theory, elliptic differential equations, functional analysis, probability, and geometric measure theory.
650 0 $a Gaussian processes. $3 211434
650 1 4 $a Probability Theory and Stochastic Processes. $3 274061
650 2 4 $a Functional Analysis. $3 274845
650 2 4 $a Partial Differential Equations. $3 274075
700 1 $a Liu, Liguang. $3 823453
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
830 0 $a Lecture notes in mathematics ; $v 2035. $3 557764
856 4 0 $u https://doi.org/10.1007/978-3-319-95040-2
950 $a Mathematics and Statistics (Springer-11649)