A Sharp Constant for the Bergman Projection

A Sharp Norm Estimate of the Bergman Projection on L Spaces

We show that the norm of the Bergman projection on L of the unit ball in C is comparable to csc(π/p) for 1 < p <∞.

The Bergman Projection on Sectorial Domains

On the Sharp Constant for Starlikeness

We obtain a sharp constant of the sufficient condition for p-valently starlikeness, which had been studied by Nunokawa (1991), Obradovíc and Owa (1989), and Li (1993). 2000 Mathematics Subject Classification. Primary 30C45.

A study of the Bergman projection in certain Hartogs domains

We show that the Bergman projection does not preserve smoothness of functions in some pseudoconvex domains in the space of two complex variables.

$L^p$ boundedness of the Bergman projection on some generalized Hartogs triangles

‎In this paper we investigate a two classes of domains in $mathbb{C}^n$ generalizing the Hartogs triangle‎. ‎We prove optimal estimates for the mapping properties of the Bergman projection on these domains.