Gaussian capacity analysis /
Saved in:
| Author / Creator: | Liu, Liguang (Mathematician), author. |
|---|---|
| Imprint: | Cham, Switzerland : Springer, [2018] |
| Description: | 1 online resource |
| Language: | English |
| Series: | Lecture notes in mathematics, 0075-8434 ; 2225 Lecture notes in mathematics (Springer-Verlag) ; 2225. |
| Subject: | |
| Format: | E-Resource Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/11706400 |
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| 100 | 1 | |a Liu, Liguang |c (Mathematician), |e author. |0 http://id.loc.gov/authorities/names/no2014104416 | |
| 245 | 1 | 0 | |a Gaussian capacity analysis / |c Liguang Liu, Jie Xiao, Dachun Yang, Wen Yuan. |
| 264 | 1 | |a Cham, Switzerland : |b Springer, |c [2018] | |
| 300 | |a 1 online resource | ||
| 336 | |a text |b txt |2 rdacontent | ||
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| 490 | 1 | |a Lecture notes in mathematics, |x 0075-8434 ; |v 2225 | |
| 505 | 0 | |a 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. | |
| 504 | |a Includes bibliographical references and index. | ||
| 588 | 0 | |a Online resource; title from digital title page (viewed on October 10, 2018). | |
| 520 | |a 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. | ||
| 650 | 0 | |a Gaussian distribution. |0 http://id.loc.gov/authorities/subjects/sh85053556 | |
| 650 | 0 | |a Potential theory (Mathematics) |0 http://id.loc.gov/authorities/subjects/sh85105671 | |
| 650 | 0 | |a Differential equations, Elliptic. |0 http://id.loc.gov/authorities/subjects/sh85037895 | |
| 650 | 0 | |a Functional analysis. |0 http://id.loc.gov/authorities/subjects/sh85052312 | |
| 650 | 0 | |a Geometric measure theory. |0 http://id.loc.gov/authorities/subjects/sh85054124 | |
| 650 | 7 | |a Functional analysis & transforms. |2 bicssc | |
| 650 | 7 | |a Differential calculus & equations. |2 bicssc | |
| 650 | 7 | |a Probability & statistics. |2 bicssc | |
| 650 | 7 | |a Mathematics |x Functional Analysis. |2 bisacsh | |
| 650 | 7 | |a Mathematics |x Differential Equations. |2 bisacsh | |
| 650 | 7 | |a Mathematics |x Probability & Statistics |x General. |2 bisacsh | |
| 650 | 7 | |a Potential theory (Mathematics) |2 fast |0 (OCoLC)fst01073489 | |
| 650 | 7 | |a Geometric measure theory. |2 fast |0 (OCoLC)fst00940834 | |
| 650 | 7 | |a Differential equations, Elliptic. |2 fast |0 (OCoLC)fst00893458 | |
| 650 | 7 | |a Differential equations, Partial. |2 fast |0 (OCoLC)fst00893484 | |
| 650 | 7 | |a Functional analysis. |2 fast |0 (OCoLC)fst00936061 | |
| 650 | 7 | |a Gaussian distribution. |2 fast |0 (OCoLC)fst00939018 | |
| 655 | 4 | |a Electronic books. | |
| 700 | 1 | |a Xiao, Jie, |e author. |0 http://id.loc.gov/authorities/names/n88238607 | |
| 700 | 1 | |a Yang, Dachun, |e author. | |
| 700 | 1 | |a Yuan, Wen, |e author. |0 http://id.loc.gov/authorities/names/no2010157002 | |
| 776 | 0 | 8 | |i Printed edition: |z 9783319950396 |w (OCoLC)1038443139 |
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| 830 | 0 | |a Lecture notes in mathematics (Springer-Verlag) ; |v 2225. |0 http://id.loc.gov/authorities/names/n42015165 | |
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