On the boundedness of Bergman projection

Abstract

Abstract. 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 A p ω which are useful in the study of this question. In particular, we shall focus on a decomposition norm theorem for radial weights ω with the doubling property 1 r ω(s) ds ≤ C ω(s) ds.

On the contribution of different coupling constants in the infrared regime of Yang–Mills theory: A Curci–Ferrari approach

“…This match with the infrared limit of the beta function, β g , calculated for the infrared scheme in [39].…”

Integral operators mapping into the space of bounded analytic functions

“…Theorem B follows by [22,Proposition 11], see also the proof of [19,Theorem 4]. With these preparations we are ready to prove the equivalence between (a) and (c) in Theorem 1.3.…”

Duality of weighted Bergman spaces with small exponents

“…for all 0 r < 1, then we denote ω ∈ D. For basic properties of these weights and more, see [3], [6] and [7]. [5,Corollary 7].…”

“…It is easy to see that the right-hand inequality is equivalent to W ∈ D [6], and an analogous argument shows that the left-hand inequality is satisfied if and only if W has the doubling property W (r)…”