Bounded and Invertible Toeplitz Products on Vector Weighted Bergman Spaces of the Unit Polydisc

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Abstract

We characterize bounded and invertible Toeplitz products on vector weighted Bergman spaces of the unit polydisc. For our purpose, we will need the notion of Békollé–Bonami weights in several parameters.

Original languageEnglish
Article number178
JournalMediterranean Journal of Mathematics
Volume14
Issue number4
DOIs
Publication statusPublished - 1 Aug 2017

Keywords

  • Bergman spaces
  • Békollé–Bonami weight
  • Toeplitz operator
  • reproducing kernel

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