Results 171 to 180 of about 1,679 (203)

Bergman Projection on the Symmetrized Bidisk

Journal of Geometric Analysis, 2023
We apply the Bekollé-Bonami estimate for the (positive) Bergman projection on the weighted $L^p$ spaces on the unit disk. As the consequences, we obtain the boundedness of the Bergman projection on the weighted Sobolev space on the symmetrized bidisk. We also improve the boundedness result of the Bergman projection on the unweighted $L^p$ space on the ...
Liwei Chen, Yuan Yuan
exaly   +3 more sources

A survey of the $$L^p$$ regularity of the Bergman projection [PDF]

Complex Analysis and Its Synergies, 2020
Although the Bergman projection operator $\mathbf{B}_Ω$ is defined on $L^2(Ω)$, its behavior on other $L^p(Ω)$ spaces for $p\not =2$ is an active research area. We survey some of the recent results on $L^p$ estimates on the Bergman projection.
Yunus E Zeytuncu, Zeytuncu Yunus E
exaly   +3 more sources

Semi-Norms of the Bergman Projection [PDF]

Computational Methods and Function Theory, 2015
to appear in Computational Methods and Function ...
Markovic Marijan
exaly   +4 more sources

Sharp Békollé estimates for the Bergman projection

Journal of Functional Analysis, 2013
We prove sharp estimates for the Bergman projection in weighted Bergman spaces in terms of the Bekolle constant. Our main tools are a dyadic model dominating the operator and an adaptation of a method of Cruz-Uribe, Martell and Perez.
Sandra Pott, Maria Carmen Reguera
exaly   +4 more sources

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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.
openaire   +2 more sources

Boundedness of the Bergman Projection and Some Properties of Bergman Type Spaces

Complex Analysis and Operator Theory, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Karapetyants, Alexey, Rafeiro, Humberto, Samko, Stefan   +2 more
openaire   +2 more sources

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.
openaire   +2 more sources

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 ...
openaire   +1 more source

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
openaire   +1 more source

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.
openaire   +2 more sources