Gaussian Capacity Analysis (Lecture Notes in Mathematics)
Gaussian Capacity Analysis (Lecture Notes in Mathematics)
by Liguang Liu
English | 2018 | ISBN: 3319950398 | 120 Pages | PDF | 1.13 MB
by Liguang Liu
English | 2018 | ISBN: 3319950398 | 120 Pages | PDF | 1.13 MB
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 Poincare 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.