Gaussian capacity analysis /

Gaussian capacity analysis /

Saved in:

Bibliographic Details
Author / Creator:	Liu, Liguang (Mathematician), author.
Imprint:	Cham, Switzerland : Springer, [2018]
Description:	1 online resource
Language:	English
Series:	Lecture notes in mathematics, 0075-8434 ; 2225 Lecture notes in mathematics (Springer-Verlag) ; 2225.
Subject:	Gaussian distribution. Potential theory (Mathematics) Differential equations, Elliptic. Functional analysis. Geometric measure theory. Potential theory (Mathematics) Geometric measure theory. Differential equations, Elliptic. Differential equations, Partial. Functional analysis. Gaussian distribution.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11706400

Hidden Bibliographic Details
Other authors / contributors:	Xiao, Jie, author. Yang, Dachun, author. Yuan, Wen, author.
ISBN:	9783319950402 3319950401 9783319950419 331995041X 9783319950396 3319950398
Digital file characteristics:	text file PDF
Notes:	Includes bibliographical references and index. Online resource; title from digital title page (viewed on October 10, 2018).
Summary:	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.
Other form:	Printed edition: 9783319950396 Printed edition: 9783319950419
Standard no.:	10.1007/978-3-319-95040-2 10.1007/978-3-319-95

Table of Contents:

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.