Weighted Bergman Projections on the Hartogs Triangle: Exponential Decay

Abstract

We study weighted Bergman projections on the Hartogs triangle in ${\mathbb{C}}^2$. We show that projections corresponding to exponentially vanishing weights have degenerate $L^p$ mapping properties.

arXiv commentTo appear in the New York Journal of Mathematics

References in corpus (3)

• Bergman subspaces and subkernels: Degenerate $L^p$ mapping and zeroes
• Weighted Bergman Projection on the Hartogs Triangle
• The $L^p$ boundedness of the Bergman projection for a class of bounded Hartogs domains

Cited by in corpus (2)

• Smoothing Properties of the Friedrichs Operator on $L^p$ spaces
• $L^p$ regularity of the Bergman Projection on domains covered by the polydisk