Gaussian Capacity Analysis (Lecture Notes in Mathematics, 2225)

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Gaussian Capacity Analysis (Lecture Notes in Mathematics, 2225) image
ISBN-10:

3319950398

ISBN-13:

9783319950396

Author(s): Xiao, Jie; Yuan, Wen
Edition: 1st ed. 2018
Released: Sep 21, 2018
Publisher: Springer
Format: Paperback, 117 pages

Description:

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.

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