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Finite rank Toeplitz operators: Some extensions of D. Luecking's theorem

Finite rank Toeplitz operators: Some extensions of D.\,Luecking's theorem
Authors: Alexandrov, Alexey; Rozenblum, Grigori;

Finite rank Toeplitz operators: Some extensions of D. Luecking's theorem

Abstract

The recent theorem by D.Luecking about finite rank Bergman-Toeplitz operators is extended to weights being distributions with compact support and to the spaces of harmonic functions.

15 pages

Keywords

47B35; 32A36, Mathematics - Complex Variables, distributions, 32A36, Bargmann spaces, Functional Analysis (math.FA), Mathematics - Functional Analysis, Bergman spaces, Toeplitz operators, Hankel operators, Wiener-Hopf operators, finite rank operators, FOS: Mathematics, Complex Variables (math.CV), Hilbert spaces of continuous, differentiable or analytic functions, 47B35, Toeplitz operators, Analysis

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
20
Average
Top 10%
Top 10%
Green
hybrid
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