Quite recently Bekollé and Bonami [1] have characterized the weighted measures λ on the
unit disk Δ for which the Bergman projection is bounded on Lp (Δ: λ), 1< p<∞. Our methods …

Let $\Omega $ be a domain in $\mathbb {C}^{n} $, $ F $ a nonnegative and $ G $ a positive
function on $\Omega $ such that $1/G $ is locally bounded, $ A^{2} _ {\alpha} $ the space of …

We establish an embedding theorem for the weighted Bergman spaces induced by a
positive Borel measure d ω (y) dx d ω (y) dx with the doubling property ω (0, 2t) ≤ C ω (0, t) …

We find necessary and sufficient conditions on radial weights w on the unit disc so that the
Bergman type projections of Forelli–Rudin are bounded on L1 (w) and in the Herz spaces …

A weighted Bergman spaceB is a Banach space of the formLp (μ)∩ Hol (Ω), whereμis a
Borel measure carried by the bounded regionΩin the complex plane. We consider closed …

Let△ and dm be the open unit disk and the 2-dimensional Lebesgue measure on the
complex plane C, respectively. For α∈(− 1,∞), put dmα (z)= π− 1 (α+ 1)(1−| z| 2) α dm (z) …

The main purpose of this survey is to gather results on the boundedness of the Bergman
projection. First, we shall go over some equivalent norms on weighted Bergman spaces …

Necessary as well as sufficient conditions are given for the Bergman projections to be
bounded operators on Lp spaces on the unit disc. Let w be a continuous positive function on …

We establish characterizations of the radial weights ω on the unit disc such that the Bergman
projection P ω, induced by ω, is bounded and/or acts surjectively from L∞ to the Bloch …

The motivation of this paper comes from the two weight inequality‖ P ω (f)‖ L vp≤ C‖ f‖
L vp, f∈ L vp, for the Bergman projection P ω in the unit disc. We show that the …