Gaussian Capacity Analysis

Download or read book Gaussian Capacity Analysis written by Liguang Liu and published by Springer. This book was released on 2018-09-20 with total page 115 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.