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Finite rank Toeplitz operators: Some extensions of D. Luecking's theorem
Authors:Alexey Alexandrov
Affiliation:a Petersburg Department of Steklov Institute of Mathematics, Russian Academy of Sciences, 27, Fontanka, St. Petersburg 191023, Russia
b Department of Mathematics, Chalmers University of Technology, S-412 96 Gothenburg, Sweden
c Department of Mathematics, University of Gothenburg, S-412 96 Gothenburg, Sweden
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.
Keywords:Bergman spaces   Bargmann spaces   Toeplitz operators
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