β -admissibility of observation operators for hypercontractive semigroups

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Title: β -admissibility of observation operators for hypercontractive semigroups
Author(s): Jacob, B
Partington, JR
Pott, S
Wynn, A
Item Type: Journal Article
Abstract: We prove a Weiss conjecture on β -admissibility of observation operators for discrete and continuous γ -hypercontractive semigroups of operators, by representing them in terms of shifts on weighted Bergman spaces and using a reproducing kernel thesis for Hankel operators. Particular attention is paid to the case γ= 2, which corresponds to the unweighted Bergman shift.
Date of Acceptance: 5-Apr-2017
URI: http://hdl.handle.net/10044/1/46267
ISSN: 1424-3202
Publisher: Springer Verlag (Germany)
Journal / Book Title: Journal of Evolution Equations
Keywords: General Mathematics
0101 Pure Mathematics
Publication Status: Accepted
Appears in Collections:Faculty of Engineering
Aeronautics



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