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Gaussian Capacity Analysis

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Gaussian Capacity Analysis/ by Liguang Liu, Jie Xiao, Dachun Yang, Wen Yuan.
Author:	Liu, Liguang.
other author:	Xiao, Jie.
Description:	IX, 108 p. 1 illus.online resource. :
Contained By:	Springer Nature eBook
Subject:	Probabilities. -
Online resource:	https://doi.org/10.1007/978-3-319-95040-2
ISBN:	9783319950402

Gaussian Capacity Analysis
Liu, Liguang.

Gaussian Capacity Analysis[electronic resource] /by Liguang Liu, Jie Xiao, Dachun Yang, Wen Yuan. - 1st ed. 2018. - IX, 108 p. 1 illus.online resource. - Lecture Notes in Mathematics,22250075-8434 ;. - Lecture Notes in Mathematics,2144.

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 Poincaré 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:

527847
Probabilities.

LC Class. No.: QA273.A1-274.9

Dewey Class. No.: 519.2

Gaussian Capacity Analysis
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