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.
