書誌事項

Gaussian Capacity Analysis

Liguang Liu, Jie Xiao, Dachun Yang, Wen Yuan

(Lecture notes in mathematics, 2225)

Springer, c2018

  • : pbk

この図書・雑誌をさがす
注記

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

内容説明・目次

内容説明

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.

目次

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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詳細情報
  • NII書誌ID(NCID)
    BB26898835
  • ISBN
    • 9783319950396
  • LCCN
    2018951056
  • 出版国コード
    sz
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Cham
  • ページ数/冊数
    ix, 108 p.
  • 大きさ
    24 cm
  • 親書誌ID
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