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

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

2011-09-24

arxiv.org/abs/1109.5275v1

Mathematics

Functional Analysis

14 pages

Scientific paper

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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