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arXiv · 1109.5275

Semigroups of Composition Operators on Hardy Spaces of the half-plane

Athanasios G. Arvanitidis
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Abstract

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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Athanasios G. Arvanitidis. 2011-09-24. Semigroups of Composition Operators on Hardy Spaces of the half-plane. https://arxiv.org/abs/1109.5275

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