Semigroups of Composition Operators on Hardy Spaces of the half-plane
We identify the semigroups consisting of bounded composition operators on the Hardy spaces $H^p(\U)$ of the upper half-plane. We show that any such semigroup is strongly continuous on $H^p(\U)$ but not uniformly continuous and we identify the infinitesimal generator.
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| Format: | Artikel |
| Sprache: | eng |
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| Zusammenfassung: | We identify the semigroups consisting of bounded composition operators on the
Hardy spaces $H^p(\U)$ of the upper half-plane. We show that any such semigroup
is strongly continuous on $H^p(\U)$ but not uniformly continuous and we
identify the infinitesimal generator. |
|---|---|
| DOI: | 10.48550/arxiv.1109.5275 |