Gaussian Capacity Analysis (Lecture Notes in Mathematics, 2225) - Softcover

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

 
9783319950396: Gaussian Capacity Analysis (Lecture Notes in Mathematics, 2225)

Synopsis

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. 

"synopsis" may belong to another edition of this title.

From the Back Cover

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.  

"About this title" may belong to another edition of this title.