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Gaussian capacity analysis

Liu, Liguang.

Gaussian capacity analysis

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Gaussian capacity analysis/ by Liguang Liu ... [et al.].
其他作者:	Liu, Liguang.
出版者:	Cham :Springer International Publishing : : 2018.,
面頁冊數:	ix, 108 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
標題:	Gaussian processes. -
電子資源:	https://doi.org/10.1007/978-3-319-95040-2
ISBN:	9783319950402

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 ;1943..

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

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

672507
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 : $c 2018. $b Springer International Publishing : $b Imprint: Springer,
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 672507
650 1 4 $a Probability Theory and Stochastic Processes. $3 593945
650 2 4 $a Functional Analysis. $3 672166
650 2 4 $a Partial Differential Equations. $3 671119
700 1 $a Liu, Liguang. $3 1209616
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer eBooks
830 0 $a Lecture notes in mathematics ; $v 1943. $3 882220
856 4 0 $u https://doi.org/10.1007/978-3-319-95040-2
950 $a Mathematics and Statistics (Springer-11649)

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