Essential commutativity of composition and differentiation operator

Authors

  • Elke Wolf University of Paderborn, Germany

Keywords:

essentially commutative, composition operator, differentiation operator, weighted Bloch type spaces, weighted Banach spaces of holomorphic functions

Abstract

Let ϕ be an analytic self-map of the open unit disk in the complex plane. We study under which conditions on the symbol ϕ and the involved weights the composition operator Cϕ and the differentiation operator D acting between weighted Bloch type spaces and weighted Banach spaces are essentially commutative.

Author Biography

Elke Wolf, University of Paderborn, Germany

Mathematical Institute, D-33095 Paderborn

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Published

2015-06-16

Issue

Vol. 8(57) No. 1 (2015)

Section

MATHEMATICS