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

By L. Edholm, Jeffery D. McNeal. 2015

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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.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/b7723aa0a9c655be74d78dc7c53dacf78ffff7a8