Norm of 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 <∞.

Bergman Commutators and Norm Ideals

Let P be the orthogonal projection from L(B, dv) onto the Bergman space La(B, dv) of the unit ball in C . In this paper we characterize the membership of commutators of the form [Mf , P ] in the norm ideal CΦ, where the symmetric gauge function Φ is allowed to be arbitrary.

The Bergman Projection on Sectorial Domains

$L^p$ 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.

Boundedness of the Bergman Type Operators on Mixed Norm Spaces

Conditions sufficient for boundedness of the Bergman type operators on certain mixed norm spaces Lp,q(φ) (0 < p < 1, 1 < q <∞) of functions on the unit ball of Cn are given, and this is used to solve Gleason’s problem for the mixed norm spaces Hp,q(φ) (0 < p < 1, 1 < q <∞).