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

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.

References in corpus (2)

• The Bergman kernel and projection on non-smooth worm domains
• $L^p$ Mapping Properties of the Bergman Projection on the Hartogs Triangle

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• Duality and approximation of Bergman spaces
• Weak-type estimates for the Bergman projection on the polydisc and the Hartogs triangle
• Bergman Kernels of Elementary Reinhardt Domains
• Sobolev mapping of some holomorphic projections
• Weighted estimates for the Bergman projection on the Hartogs triangle
• Hardy Spaces for a Class of Singular Domains
• A sufficient condition for $L^p$ regularity of the Berezin transform
• Projections onto $L^p$-Bergman spaces of Reinhardt Domains
• $L^p$ regularity of the Bergman projection on the symmetrized polydisc
• Nonabelian ramified coverings and $L^p$-boundedness of Bergman projections in ${\mathbb{C}}^2$
• Bergman projection on the symmetrized bidisk
• (Ir-)regularity of canonical projection operators on some weakly pseudoconvex domains