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arXiv · 1502.07302

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

L. D. Edholm·J. D. McNeal
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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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L. D. Edholm, J. D. McNeal. 2015-02-25. The Bergman projection on fat Hartogs triangles: L^p boundedness. https://doi.org/10.1090/proc/12878

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