Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4614472 | Journal of Mathematical Analysis and Applications | 2016 | 16 Pages |
Abstract
This paper provides a complete characterisation of quasicontractive groups and analytic C0C0-semigroups on Hardy and Dirichlet space on the unit disc with a prescribed generator of the form Af=Gf′Af=Gf′. In the analytic case we also give a complete characterisation of immediately compact semigroups. When the analyticity fails, we obtain sufficient conditions for compactness and membership in the trace class. Finally, we analyse the case where the unit disc is replaced by the right-half plane, where the results are drastically different.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
C. Avicou, I. Chalendar, J.R. Partington,