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arXiv:1109.5275 [math.FA]AbstractReferencesReviewsResources

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

Athanasios G. Arvanitidis

Published 2011-09-24Version 1

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.

Comments: 14 pages
Categories: math.FA, math.CV
Subjects: 47D03, 47B33, 30H10
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