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.

Gaussian Capacity Analysis (Lecture Notes in Mathematics, 2225)

Science & Math

Xiao, Jie

Yuan, Wen

Yang, Dachun

Liu, Liguang

Mathematics

Springer

During the last 60 years the theory of function spaces has been a subject of growing interest and increasing diversity. This book establishes a new general framework unifying Besov-Triebel-Lizorkin spaces, Morrey spaces, Campanato spaces and Q spaces.

Morrey and Campanato Meet Besov, Lizorkin and Triebel (Lecture Notes in Mathematics, 2005)

Sickel, Winfried

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