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

Edholm, L.; McNeal, J.

doi:10.1090/proc/12878

The Bergman projection on fat Hartogs triangles: $L^p$ boundedness
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by L. D. Edholm and J. D. McNeal PDF

Proc. Amer. Math. Soc. 144 (2016), 2185-2196 Request permission

Abstract:

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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