Toeplitz products on the vector weighted Bergman spaces

Jocelyn Gonessa, Benoît F. Sehba

Research output: Contribution to journalArticlepeer-review

Abstract

A result of K. Stroethoff and D. Zheng provides on the polydisk a necessary and sufficient condition for the Toeplitz product TfTg to be bounded on the unweighted Bergman space. We consider the same question on the vector weighted Bergman space of the unit polydisc.

Original languageEnglish
Pages (from-to)511-530
Number of pages20
JournalActa Scientiarum Mathematicarum
Volume80
Issue number3-4
DOIs
Publication statusPublished - 2014

Keywords

  • Bergman spaces
  • Reproducing kernel
  • Toeplitz operator

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