Sharp Bekolle estimates for the Bergman projection
Sandra Pott, Maria Carmen Reguera
TL;DR
This paper establishes precise bounds for the Bergman projection in weighted spaces using Bekolle constants, employing a dyadic model and adapted techniques from Cruz-Uribe, Martell, and Perez.
Contribution
It introduces sharp Bekolle estimates for the Bergman projection, advancing understanding of weighted Bergman space bounds with novel methodological adaptations.
Findings
Sharp bounds for Bergman projection established
Dyadic model effectively dominates the operator
Method adapted from Cruz-Uribe, Martell, and Perez
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.
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Taxonomy
TopicsHolomorphic and Operator Theory · Advanced Harmonic Analysis Research · Algebraic and Geometric Analysis