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Semigroups of Composition Operators in Analytic Morrey Spaces

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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… Click to show full 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.

Keywords: morrey spaces; operators analytic; analytic morrey; composition operators; semigroups composition

Journal Title: Integral Equations and Operator Theory
Year Published: 2019

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