β-admissibility of observation operators for hypercontractive semigroups
Research output: Contribution to journal › Article
We prove a Weiss conjecture on (Formula presented.)-admissibility of observation operators for discrete and continuous (Formula presented.)-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 (Formula presented.), which corresponds to the unweighted Bergman shift.
|Research areas and keywords||
Subject classification (UKÄ) – MANDATORY
|Journal||Journal of Evolution Equations|
|Early online date||2017 Jun 24|
|Publication status||Published - 2018 Mar|