Gaussian capacity analysis

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 ge...

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Detalles Bibliográficos
Autores principales: Liu, Liguang, Xiao, Jie, Yang, Dachun, Yuan, Wen
Lenguaje:eng
Publicado: Springer 2018
Materias:
Mathematical Physics and Mathematics
Acceso en línea:https://dx.doi.org/10.1007/978-3-319-95040-2
http://cds.cern.ch/record/2641320
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author Liu, Liguang
Xiao, Jie
Yang, Dachun
Yuan, Wen
author_facet Liu, Liguang
Xiao, Jie
Yang, Dachun
Yuan, Wen
author_sort Liu, Liguang
collection CERN
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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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2018
publisher Springer
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spelling cern-26413202021-04-21T18:41:47Zdoi:10.1007/978-3-319-95040-2http://cds.cern.ch/record/2641320engLiu, LiguangXiao, JieYang, DachunYuan, WenGaussian capacity analysisMathematical Physics and MathematicsThis 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. .Springeroai:cds.cern.ch:26413202018
spellingShingle Mathematical Physics and Mathematics
Liu, Liguang
Xiao, Jie
Yang, Dachun
Yuan, Wen
Gaussian capacity analysis
title Gaussian capacity analysis
title_full Gaussian capacity analysis
title_fullStr Gaussian capacity analysis
title_full_unstemmed Gaussian capacity analysis
title_short Gaussian capacity analysis
title_sort gaussian capacity analysis
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/978-3-319-95040-2
http://cds.cern.ch/record/2641320
work_keys_str_mv AT liuliguang gaussiancapacityanalysis
AT xiaojie gaussiancapacityanalysis
AT yangdachun gaussiancapacityanalysis
AT yuanwen gaussiancapacityanalysis

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