On higher dimensional Luecking's theorem

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8 Citations (Scopus)

Abstract

D. Luecking has recently proved that a Toeplitz operator with measure symbol on the Bergman space of unit disk has finite rank if and only if its symbols is a linear combination of point masses. In this note we extend this theorem to higher dimensional cases.

Original languageEnglish
Pages (from-to)213-224
Number of pages12
JournalJournal of the Mathematical Society of Japan
Volume61
Issue number1
DOIs
Publication statusPublished - 2009 Jan

Keywords

  • Bergman space
  • Finite rank
  • Toeplitz operator

ASJC Scopus subject areas

  • Mathematics(all)

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