Gaussian Capacity Analysis

• Main Authors: Liu, Liguang (Author, http://id.loc.gov/vocabulary/relators/aut), Xiao, Jie (http://id.loc.gov/vocabulary/relators/aut), Yang, Dachun (http://id.loc.gov/vocabulary/relators/aut), Yuan, Wen (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Edition: 1st ed. 2018.
• Series: Lecture Notes in Mathematics, 2225
• Subjects: Probabilities.; Functional analysis.; Partial differential equations.; Probability Theory and Stochastic Processes.; Functional Analysis.; Partial Differential Equations.
• Physical Description: IX, 108 p. 1 illus. online resource.
• ISBN: 9783319950402
• ISSN: 0075-8434 ;
• DOI: 10.1007/978-3-319-95040-2

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. .