$L^p$ boundedness of the Bergman projection on the generalized Hartogs triangles

preprint2016arXivOpen access

In this paper we investigate a two classes of domains in $\mathbb{C}^n$ generalizing the Hartogs triangle. We prove optimal estimates for the mapping properties of the Bergman projection on these domains.

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$L^p$ boundedness of the Bergman projection on the generalized Hartogs triangles

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LpL^pLp boundedness of the Bergman projection on the generalized Hartogs triangles

Abstract

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$L^p$ boundedness of the Bergman projection on the generalized Hartogs triangles