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.

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 g...

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.