Sharp Bekolle estimates for the Bergman projection

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Abstract

We prove sharp estimates for the Bergman projection in weighted Bergman spaces in terms of the Bekolle constant. Our main tools are a dyadic model dominating the operator and an adaptation of a method of Cruz-Uribe, Martell and Perez. (C) 2013 Elsevier Inc. All rights reserved.

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Research areas and keywords

Subject classification (UKÄ) – MANDATORY

  • Mathematics

Keywords

  • Bergman spaces, Bekolle weights
Original languageEnglish
Pages (from-to)3233-3244
JournalJournal of Functional Analysis
Volume265
Issue number12
Publication statusPublished - 2013
Publication categoryResearch
Peer-reviewedYes