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.

To appear in the New York Journal of Mathematics

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