UID:
almahu_9947971793502882
Format:
IX, 108 p. 1 illus.
,
online resource.
ISBN:
9783319950402
Series Statement:
Lecture Notes in Mathematics, 2225
Content:
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. .
Note:
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.
In:
Springer eBooks
Additional Edition:
Printed edition: ISBN 9783319950396
Additional Edition:
Printed edition: ISBN 9783319950419
Language:
English
Subjects:
Mathematics
DOI:
10.1007/978-3-319-95040-2
URL:
https://doi.org/10.1007/978-3-319-95040-2
URL:
Volltext
(URL des Erstveröffentlichers)
URL:
Volltext
(lizenzpflichtig)
URL:
https://www.springer.com/de/book/9783319950396
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