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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.
DOI: 10.14232/actasm-013-526-x
AMS Subject Classification
(1991): 47D03, 47B33, 30H10
Keyword(s):
semigroups,
composition operators,
Hardy spaces
Received April 17, 2013, and in final form December 12, 2014. (Registered under 26/2013.)
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