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arxiv: 1109.5275 · v1 · pith:R6XJQ3PUnew · submitted 2011-09-24 · 🧮 math.FA · math.CV

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

classification 🧮 math.FA math.CV
keywords compositioncontinuoushalf-planehardyidentifyoperatorssemigroupsspaces
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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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