Semigroups of Composition Operators on Hardy Spaces of the half-plane
Functional Analysis
2011-09-27 v1 Complex Variables
Abstract
We identify the semigroups consisting of bounded composition operators on the Hardy spaces of the upper half-plane. We show that any such semigroup is strongly continuous on but not uniformly continuous and we identify the infinitesimal generator.
Keywords
Cite
@article{arxiv.1109.5275,
title = {Semigroups of Composition Operators on Hardy Spaces of the half-plane},
author = {Athanasios G. Arvanitidis},
journal= {arXiv preprint arXiv:1109.5275},
year = {2011}
}
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14 pages