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Semigroups of composition operators in analytic Morrey spaces

2019/09/24 by Galanopoulos, Petros, Merchán, Noel, Siskakis, Aristomenis G.
#32A37 #47B33 #47D06 #Complex Variables (math.CV) #FOS: Mathematics #Functional Analysis (math.FA) #Primary 30H05 #Secondary 46E15

paper · doi:10.48550/arxiv.1909.11035

Abstract

Analytic Morrey spaces belong to the class of function spaces which, like BMOA, are defined in terms of the degree of oscillation on the boundary of functions analytic in the unit disc. We consider semigroups of composition operators on these spaces and focus on the question of strong continuity. It is shown that these semigroups behave like on BMOA.

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