Gaussian Capacity Analysis
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Beschreibung
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.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.
The first book presenting a systematic study of the Sovolev/BV capacity theory in the Gaussian setting Provides fundamental material for a cross-disciplinary field Provides interesting applications in the geometry of Gaussian space
Autor*in
Liguang Liu
Themen in »Gaussian Capacity Analysis«
Gaussian Measure Gaussian Sobolev Function Gaussian BV Function Poincaré Inequality Gaussian Isoperimetry partial differential equations