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ArticleOriginal scientific text

Title

Toeplitz operators in the commutant of a composition operator

Authors 1

Affiliations

  1. Department of Mathematics, Brock University, St. Catharines, Ontario, Canada L2S 3A1

Abstract

If ϕ is an analytic self-mapping of the unit disc D and if H2(D) is the Hardy-Hilbert space on D, the composition operator Cϕ on H2(D) is defined by Cϕ(f)=f∘ϕ. In this article, we consider which Toeplitz operators Tf satisfy TfCϕ=CϕTf

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Studia Mathematica
1999/133/2
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Pages:
187-196
Main language of publication
English
Received
1998-06-01
Accepted
1998-08-28
Published
1999
Exact and natural sciences