Gaussian Capacity Analysis Inhaltsverzeichnis: 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.