Results 191 to 200 of about 663,433 (237)

Norm estimates for a class of operators related to the Bergman projection

Complex Variables and Elliptic Equations, 2021
Suppose , is an integral operator of which is defined as follows: , where is the unit disk and is the normalized area measure. For , we obtain the norm estimates of , where . Our results are sharp for . Moreover, we show that is a compact operator and of
Xiao-Jin Bai, Jian-Feng Zhu
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Boundedness of weighted Bergman projection with several complex variables

Complex Variables and Elliptic Equations, 2022
In this paper, we focus on the regularity of weighted Bergman projection on the unit ball and complex space with radial weight. We prove that the weighted Bergman projection on and is bounded only if respectively, where and .
Hui Cao, GuanFeng Deng, Qian Fu
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Restricted type estimates on the Bergman projection of some singular domains

Journal of Geometric Analysis
We obtain (weighted) restricted type estimates for the Bergman projection operator on monomial polyhedra, a class of domains generalizing the Hartogs triangle.
Debraj Chakrabarti, Zhenghui Huo
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Boundedness and compactness of Bergman projection commutators in two-weight setting

Journal of Fourier Analysis and Applications
The goal of this paper is to study the boundedness and compactness of the Bergman projection commutators in two weighted settings via the weighted BMO and VMO spaces, respectively. The novelty of our work lies in the distinct treatment of the symbol b in
Bingyang Hu, Ji Li, Nathan A. Wagner
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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)
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