Click Here to Download: https://ouo.io/Excvoa3 Gaussian Capacity Analysis By: Liguang Liu; Jie Xiao; Dachun Yang; Wen Yuan Publisher: Springer Print ISBN: 9783319950396, 3319950398 eText ISBN: 9783319950402, 3319950401 Copyright year: 2018 Format: EPUB Available from $ 49.99 USD SKU 9783319950402 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.
