Lecture Notes in Mathematics

Liu, Liguang; Xiao, Jie; Yang, Dachun; Yuan, Wen

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. 

Details

Published by: Springer

Publication Date: 2018-09-21

Format: Paperback

ISBN-13: 9783319950396

DOI: 10.1007/978-3-319-95040-2

Dimensions: 235cm x155cm

Pages: 108