Finite rank product theorems for Toeplitz operators on the half-space

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2 Citations (Scopus)


On the harmonic Bergman space of the half space in Rn, we show that if the product of two or more Toeplitz operators with harmonic symbols that have certain boundary smoothness has finite rank, then one of the symbols must be identically 0. Our methods require the number of factors in the product to depend on the dimension n.

Original languageEnglish
Pages (from-to)885-919
Number of pages35
JournalJournal of the Mathematical Society of Japan
Issue number3
Publication statusPublished - 2009 Jul


  • Half-space
  • Harmonic Bergman space
  • Toeplitz operator
  • Zero product

ASJC Scopus subject areas

  • General Mathematics


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