Results 201 to 210 of about 663,433 (237)

Bergman projection induced by radial weight acting on growth spaces

Annali di Matematica Pura ed Applicata
Let ω\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\omega $$\end ...
Álvaro Miguel Moreno, Jos'e 'Angel Pel'aez, J. Taskinen   +2 more
semanticscholar   +1 more source

Weighted \(L^{\infty}\)-estimates for Bergman projections

2005
Summary: We consider Bergman projections and some new generalizations of them on weighted \(L^\infty ({\mathbb D})\)-spaces. A~new reproducing formula is obtained. We show the boundedness of these projections for a large family of weights \(v\) which tend to~\(0\) at the boundary with polynomial speed. These weights may even be nonradial.
Bonet, J. A., Engliš, M. (Miroslav), Taskinen, J.   +2 more
openaire   +2 more sources

Bergman Projection and Weighted Holomorphic Functions

2003
In this paper, we first survey some regularities and irregularities resulting from the effects of weighted Bergman projections on decoupled and worm domains in ℂ n+1. In the second part of the paper, we characterize weighted Bergman spaces with the help of the weighted Bergman kernel.
Der-Chen Chang, Robert Gilbert, Jingzhi Tie   +2 more
openaire   +1 more source

The weak type (1,1) estimate of the $\mathcal{H}$ -Harmonic Bergman projection

Canadian mathematical bulletin
In this note, the author recalls the Calderon-Zygmund theory on the unit ball and derives the weak (1,1) boundedness of the projection for $\mathcal{H}$-harmonic Bergman space.
Kenan Zhang
semanticscholar   +1 more source

On the boundedness of Bergman projection

2015
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_ $ which are useful in the study of this question. In particular, we shall focus on a decomposition norm theorem for radial weights~$ $ with the doubling property $\int_{r}^1
Pel��ez, Jos�� ��ngel, R��tty��, Jouni   +1 more
openaire   +1 more source

Weak-Type Regularity of the Bergman Projection on n-Dimensional Hartogs Triangles

Complex Analysis and Operator Theory, 2023
Yu Jing, Yi Li, Chuan Qin, Mengjiao Wang
semanticscholar   +1 more source

Bergman projection on simply connected domains

2001
Abstract We study the problem of finding a substitute for the space H ∞ (Ω) which is the continuous image of the corresponding L ∞ -type space under the Bergman projection. The spaces are defined on quite general simply connected domains.
openaire   +1 more source

Lp\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$L^p$$\end{document}-norm Estimates of the Bergman Projection on the

Journal of Geometric Analysis
Chuan Qin, Maofa Wang, Shuo Zhang
semanticscholar   +1 more source

The regularity of the weighted Bergman projections

1985
In the paper the following fact is proved: If D is a smooth pseudoconvex bounded domain such that for some s > 0 there exists a compact operator Ts : W s (D)→Ws(D) solving the \(\bar \partial\)-problem \((\bar \partial T_s W = W)\), then for each \(w \in C^\infty (\bar D)\), the weighted Bergman projection with weight eW is a continuous operator from
openaire   +1 more source

Bergman projection and Toeplitz operators on weighted harmonic Bergman spaces induced by doubling weights

Acta Mathematica Scientia
Yongjiang Duan, Sawlet Junis, Na Zhan
semanticscholar   +1 more source