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SEMIGROUPS OF COMPOSITION OPERATORS ON LOCAL DIRICHLET SPACES

Part of: Groups and semigroups of linear operators, their generalizations and applications Linear function spaces and their duals Special classes of linear operators Spaces and algebras of analytic functions Holomorphic functions of several complex variables

Published online by Cambridge University Press:  16 March 2016

GEORGIOS STYLOGIANNIS
GEORGIOS STYLOGIANNIS*
Affiliation:
Loukianou 12, Karditsa 43132, Greece email stylog@math.auth.gr, g.stylog@gmail.com
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Abstract

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We study the strong continuity of semigroups of composition operators on local Dirichlet spaces.

Keywords

local Dirichlet spacescomposition operatorssemigroups of composition operators

MSC classification

Primary: 47B33: Composition operators
Secondary: 30H05: Bounded analytic functions 32A37: Other spaces of holomorphic functions (e.g. bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) 47D06: One-parameter semigroups and linear evolution equations 46E15: Banach spaces of continuous, differentiable or analytic functions
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 94 , Issue 1 , August 2016 , pp. 144 - 154
Copyright
© 2016 Australian Mathematical Publishing Association Inc. 

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