Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

$$\varvec{\beta }$$ β -admissibility of observation operators for hypercontractive semigroups

$$\varvec{\beta }$$ β -admissibility of observation operators for hypercontractive semigroups We prove a Weiss conjecture on $$\beta $$ β -admissibility of observation operators for discrete and continuous $$\gamma $$ 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 $$\gamma =2$$ γ = 2 , which corresponds to the unweighted Bergman shift. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Evolution Equations Springer Journals

$$\varvec{\beta }$$ β -admissibility of observation operators for hypercontractive semigroups

Loading next page...
 
/lp/springer-journals/varvec-beta-admissibility-of-observation-operators-for-0G52dxoDiM

References (24)

Publisher
Springer Journals
Copyright
Copyright © 2017 by Springer International Publishing AG
Subject
Mathematics; Analysis
ISSN
1424-3199
eISSN
1424-3202
DOI
10.1007/s00028-017-0395-1
Publisher site
See Article on Publisher Site

Abstract

We prove a Weiss conjecture on $$\beta $$ β -admissibility of observation operators for discrete and continuous $$\gamma $$ 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 $$\gamma =2$$ γ = 2 , which corresponds to the unweighted Bergman shift.

Journal

Journal of Evolution EquationsSpringer Journals

Published: Jun 24, 2017

There are no references for this article.