$L^p$ Regularity of Some Weighted Bergman Projections on the Unit Disc

Details $L^p$ Regularity of Some Weighted Bergman Projections on the Unit Disc $L^p$ Regularity of Some Weighted Bergman Projections on the Unit Disc

2011-05-09

arxiv.org/abs/1105.1798v1

Mathematics

Complex Variables

9 pages

Scientific paper

We show that weighted Bergman projections, corresponding to weights of the
form $M(z)(1-|z|^2)^{\alpha}$ where $\alpha>-1$ and $M(z)$ is a radially
symmetric, strictly positive and at least $C^2$ function on the unit disc, are
$L^p$ regular.

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