Gaussian Capacity Analysis

By Jie Xiao, Dachun Yang, Liguang Liu

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 Poincar? 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.

• Format: Paperback
• Language: English
• ISBN: 3319950398
• ISBN13: 9783319950396
• Release Date: September 2018
• Publisher: Springer
• Length: 108 Pages
• Weight: 0.39 lbs.
• Dimensions: 0.3" x 6.1" x 9.2"