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An application of the Prékopa–Leindler inequality and Sobolev regularity of weighted Bergman projections

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Abstract

We prove a general version of [Boa84, Theorem 4.1] to obtain Sobolev estimates for weighted Bergman projections on convex Reinhardt domains by using the Prékopa–Leindler inequality.

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Correspondence to Yunus E. Zeytuncu.

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Communicated by L. Kerchy

This work was partially supported by a grant from the Simons Foundation (#353525), and also by a University of Michigan-Dearborn CASL Faculty Summer Research Grant.

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Zeytuncu, Y.E. An application of the Prékopa–Leindler inequality and Sobolev regularity of weighted Bergman projections. ActaSci.Math. 83, 155–164 (2017). https://doi.org/10.14232/actasm-015-582-0

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