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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1. Verfasser:	Arvanitidis, Athanasios G
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Sprache:	eng
Schlagworte:	Mathematics - Complex Variables Mathematics - Functional Analysis
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creator	Arvanitidis, Athanasios G
description	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_str_mv	10.48550/arxiv.1109.5275
format	Article
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title	Semigroups of Composition Operators on Hardy Spaces of the half-plane
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