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Lecture Notes in Mathematics

Gaussian Capacity Analysis

Authors: Liu, L., Xiao, J., Yang, D., Yuan, W.

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  • 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
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eBook $19.99
$39.99 (listprice)
price for USA in USD (gross)
valid through June 30, 2020
  • ISBN 978-3-319-95040-2
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $29.99
$49.99 (listprice)
price for USA in USD
valid through June 30, 2020
  • ISBN 978-3-319-95039-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

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. 

Table of contents (6 chapters)

Table of contents (6 chapters)
  • Gaussian Sobolev p-Space

    Pages 1-18

    Liu, Liguang (et al.)

  • Gaussian Campanato (p, κ)-Class

    Pages 19-35

    Liu, Liguang (et al.)

  • Gaussian p-Capacity

    Pages 37-53

    Liu, Liguang (et al.)

  • Restriction of Gaussian Sobolev p-Space

    Pages 55-64

    Liu, Liguang (et al.)

  • Gaussian 1-Capacity to Gaussian ∞-Capacity

    Pages 65-82

    Liu, Liguang (et al.)

Buy this book

eBook $19.99
$39.99 (listprice)
price for USA in USD (gross)
valid through June 30, 2020
  • ISBN 978-3-319-95040-2
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $29.99
$49.99 (listprice)
price for USA in USD
valid through June 30, 2020
  • ISBN 978-3-319-95039-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Gaussian Capacity Analysis
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
2225
Copyright
2018
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-319-95040-2
DOI
10.1007/978-3-319-95040-2
Softcover ISBN
978-3-319-95039-6
Series ISSN
0075-8434
Edition Number
1
Number of Pages
IX, 108
Number of Illustrations
1 b/w illustrations
Topics