Gaussian Capacity Analysis
Liguang Liu, Jie Xiao, Dachun Yang, Wen YuanThis 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.
Jahr:
2018
Auflage:
1st ed.
Verlag:
Springer International Publishing
Sprache:
english
ISBN 10:
3319950401
ISBN 13:
9783319950402
Serien:
Lecture Notes in Mathematics 2225
Datei:
PDF, 1.13 MB
IPFS:
,
english, 2018