Results 171 to 180 of about 31,322 (197)

Projection Toeplitz Operators on the Bergman Space

Complex Analysis and Operator Theory, 2021
The author considers Toeplitz operators with bounded symbols that act on the Bergman space on the unit disk, aiming to characterize when such Toeplitz operators and when the product of two Toeplitz operators with continuous harmonic symbols are projections on the Bergman space.
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Bergman Projection in Clifford Analysis

2004
We study weighted Bergman projections in the monogenic Bergman spaces of the real unit ball \mathbb{B} in ℝ n . We extend results of Forelli—Rudin, Coifman—Rochberg, and Djrbashian to Clifford analysis. The main result is as follows: Let P α be the orthogonal projection from the Hilbert space L 2( \mathbb{B} , Cl 0,n , dV α) onto the subspace of ...
Guangbin Ren, Helmuth R. Malonek
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Mapping properties of operator-valued Bergman projections

Proceedings of the American Mathematical Society, 2022
In this paper, we study the boundedness theory for Bergman projection in the operator-valued setting. More precisely, let D \mathbb {D} be the open unit disk in the complex plane C \mathbb {C} and M \mathcal {M} be a semifinite von Neumann algebra. We prove that
Wang, Liang, Xu, Bang, Zhou, Dejian
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The Bergman Projection on Weighted Norm Spaces

Canadian Journal of Mathematics, 1980
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 in [4] can be applied to even extend their result by replacing the unit disk with multiply connected domains.
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Backward Shift Operators on Bergman-Besov Spaces as Bergman Projections

Istanbul Journal of Mathematics
Summary: We express backward shift operators on all Bergman-Besov spaces in terms of Bergman projections in one and several variables including the Banach function spaces and the special Hilbert spaces such as Drury-Arveson and Dirichlet spaces. These operators are adjoints of the shift operators and their definitions for the case \(p = 1\) and proper ...
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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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Bergman Type Projection on Lipschitz Spaces

Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences)
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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
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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
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