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

We show that weighted Bergman projections, corresponding to weights of the form $M(z)(1-|z|^2)^α$ where $α>-1$ 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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