The $L^p$ boundedness of the Bergman projection for a class of bounded Hartogs domains

Abstract

We generalize the Hartogs triangle to a class of bounded Hartogs domains, and we prove that the corresponding Bergman projections are bounded on $L^p$ if and only if $p$ is in the range $(\frac{2n}{n+1},\frac{2n}{n-1})$.

References in corpus (1)

• Irregularity of the Bergman projection on worm domains in C^n

Cited by in corpus (6)

• The Bergman projection on fat Hartogs triangles: L^p boundedness
• Bergman subspaces and subkernels: Degenerate $L^p$ mapping and zeroes
• Weighted Bergman Projection on the Hartogs Triangle
• Weighted Bergman Projections on the Hartogs Triangle: Exponential Decay
• $L^p$ Mapping Properties of the Bergman Projection on the Hartogs Triangle
• $L^p$ boundedness of the Bergman projection on the generalized Hartogs triangles