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Gaussian capacity analysis

Liu, Liguang.

Gaussian capacity analysis

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Gaussian capacity analysisby 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$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.].
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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.
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