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WEIGHTED COMPOSITION OPERATORS BETWEEN WEIGHTED BLOCH TYPE SPACES

WEIGHTED COMPOSITION OPERATORS BETWEEN WEIGHTED BLOCH TYPE SPACES Let 픻 be the open unit disk in the complex plane and ϕ : 픻 → 픻 as well as ψ : 픻 → ℂ be analytic maps. For a holomorphic function ƒ on 픻 the weighted composition operator C ϕ,ψ is defined by ( C ϕ,ψ ƒ)( z ) = ψ( z )ƒ(ϕ( z )) for every z ∈ 픻. We characterize when weighted composition operators acting between weighted Bloch type spaces are bounded resp. compact. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Mathematical Proceedings of the Royal Irish Academy Royal Irish Academy

WEIGHTED COMPOSITION OPERATORS BETWEEN WEIGHTED BLOCH TYPE SPACES

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References (20)

Publisher
Royal Irish Academy
Copyright
Copyright © 2011 RIA
ISSN
1393-7197
eISSN
2009-0021
DOI
10.3318/PRIA.2011.111.5
Publisher site
See Article on Publisher Site

Abstract

Let 픻 be the open unit disk in the complex plane and ϕ : 픻 → 픻 as well as ψ : 픻 → ℂ be analytic maps. For a holomorphic function ƒ on 픻 the weighted composition operator C ϕ,ψ is defined by ( C ϕ,ψ ƒ)( z ) = ψ( z )ƒ(ϕ( z )) for every z ∈ 픻. We characterize when weighted composition operators acting between weighted Bloch type spaces are bounded resp. compact.

Journal

Mathematical Proceedings of the Royal Irish AcademyRoyal Irish Academy

Published: Jan 1, 2011

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