Toeplitz operators on weighted spaces of holomorphic functions

Authors

  • Anahit Harutyunyan
  • Wolfgang Lusky

DOI:

https://doi.org/10.7146/math.scand.a-15067

Abstract

We define a notion of Toeplitz operator on certain spaces of holomorphic functions on the unit disk and on the complex plane which are endowed with a weighted sup-norm. We establish boundedness and compactness conditions, give norm estimates and characterize the essential spectrum of these operators for many symbols.

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Published

2008-09-01

Issue

Vol. 103 No. 1 (2008)

Section

Articles

How to Cite

[1]
A. Harutyunyan and W. Lusky, “Toeplitz operators on weighted spaces of holomorphic functions”, Math. Scand., vol. 103, no. 1, pp. 40–52, Sep. 2008, doi: 10.7146/math.scand.a-15067.