Differences of weighted composition operators between weighted Banach spaces of holomorphic functions and weighted Bloch type spaces

Elke Wolf

doi:10.4067/S0719-06462010000200002

Differences of weighted composition operators between weighted Banach spaces of holomorphic functions and weighted Bloch type spaces

Authors

Elke Wolf Mathematical Institute, University of Paderborn, D-33095 Paderborn, Germany.

DOI:

https://doi.org/10.4067/S0719-06462010000200002

Keywords:

weighted composition operators, weighted Bloch type spaces, weighted Banach spaces of holomorphic functions

Abstract

We consider analytic self-maps Ñ„₁, Ñ„₂ of the open unit disk as well as analytic maps Ñ±₁, Ñ±₂. These maps induce differences of weighted composition operators acting between weighted Banach spaces of holomorphic functions and weighted Bloch type spaces. In this article we give necessary and sufficient conditions for such a difference to be bounded resp. compact.

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Published

2010-06-01

How to Cite

[1]

E. Wolf, “Differences of weighted composition operators between weighted Banach spaces of holomorphic functions and weighted Bloch type spaces”, CUBO, vol. 12, no. 2, pp. 19–27, Jun. 2010.