Bibliographic Information

Gaussian Capacity Analysis

Liguang Liu, Jie Xiao, Dachun Yang, Wen Yuan

(Lecture notes in mathematics, 2225)

Springer, c2018

  • : pbk

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Note

Includes bibliographical references (p. 103-106) and index

Description and Table of Contents

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 Poincare 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.

Table of Contents

Gaussian Sobolev p-space.- Gaussian Campanato (p, k)-class.- Gaussian p-capacity.- Restriction of Gaussian Sobolev p-space.- Gaussian 1-capacity to Gaussian -capacity.- Gaussian BV-capacity.

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Details
  • NCID
    BB26898835
  • ISBN
    • 9783319950396
  • LCCN
    2018951056
  • Country Code
    sz
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    Cham
  • Pages/Volumes
    ix, 108 p.
  • Size
    24 cm
  • Parent Bibliography ID
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