The Bergman projection on fat Hartogs triangles: L^p boundedness


الملخص بالإنكليزية

A class of pseudoconvex domains in $mathbb{C}^{n}$ generalizing the Hartogs triangle is considered. The $L^p$ boundedness of the Bergman projection associated to these domains is established, for a restricted range of $p$ depending on the fatness of domains. This range of $p$ is shown to be sharp.

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