Results 181 to 190 of about 1,679 (203)

On the Algebra Generated by the Bergman Projection and a Shift Operator I

Integral Equations and Operator Theory, 2003
[For part 1 of this series, see Integral Equations Oper. Theory 46, No.4, 455-471 (2003; Zbl 1031.30021).] Let \(G\subset\mathbb C\) be a bounded domain whose boundary is a finite union of non-intersecting simple closed curves of class \(C^1\). Let \(\alpha\) be a \(C^2\)-diffeomorphism of \(\overline G\) satisfying the Carleman condition \(\alpha\cdot\
Ramírez Ortega, J., Vasilevski, N. L., Ramírez de Arellano, E.   +2 more
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A Direct Connection Between the Bergman and Szegő Projections

Complex Analysis and Operator Theory, 2013
The author studies the connection between the Bergman projection from \(L^2(\Omega )\) to \(A^2(\Omega )\) (the Bergman space) and the Szegő projection from \(L^2(\partial \Omega )\) to \(H^2(\partial \Omega )\) (the Hardy space), for different types of domains \(\Omega \) in the complex space.
openaire   +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
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Projections on Bergman Spaces Over Plane Domains

Canadian Journal of Mathematics, 1979
Let D be a bounded plane domain and let Lp(D) stand for the usual Lebesgue spaces of functions with domain D, relative to the area Lebesque measure dσ(z) = dxdy. The class of all holomorphic functions in D will be denoted by H(D) and we write Bp(D) = Lp(D) ∩ H(D). Bp(D) is called the Bergman p-space and its norm is given byLet be the Bergman kernel of
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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
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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

H -harmonic Bergman projection on the real hyperbolic ball

Journal of Mathematical Analysis and Applications, 2023
A Ersin Ureyen
exaly  

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

Complex Analysis and Operator Theory, 2023
Chuan Qin, Jing Yuanyuan
exaly  

The L boundedness of the Bergman projection for a class of bounded Hartogs domains

Journal of Mathematical Analysis and Applications, 2017
Liwei Chen
exaly  

Weighted estimates for the Berezin transform and Bergman projection on the unit ball

Mathematische Zeitschrift, 2016
Edgar Tchoundja, Brett D Wick, Wick Brett D   +2 more
exaly