Sawyer-type characterizations and sharp weighted norm estimates for Bergman-type operators

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Abstract

We obtain Sawyer-type estimates for a family of Bergman-type operators. Combining these results with some off-diagonal extrapolation results, we derive sharp weighted bounds for these operators.

Original languageEnglish
Pages (from-to)49-71
Number of pages23
JournalPositivity
Volume25
Issue number1
DOIs
Publication statusPublished - Feb 2021

Keywords

  • Bergman operator
  • Békollé–Bonami weight
  • Dyadic grid
  • Maximal function
  • Upper-half plane

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