Weighted Bergman Projections and Kernels: Lp Regularity and Zeros
Yunus Zeytuncu

TL;DR
This paper studies the regularity of weighted Bergman projections and the zeros of their kernels in the unit disc, focusing on weights that are radially symmetric and close to 1, to understand their mathematical properties.
Contribution
It provides new insights into the Lp regularity of weighted Bergman projections and the distribution of zeros of weighted Bergman kernels for specific weight functions.
Findings
Lp regularity results for weighted Bergman projections
Characterization of zeros of weighted Bergman kernels
Analysis of weights comparable to 1 on the unit disc
Abstract
We investigate Lp regularity of weighted Bergman projections and zeros of weighted Bergman kernels for the weights that are radially symmetric and comparable to 1 on the unit disc.
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