Bergman projection - Open Access .click

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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.
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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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Regulated domains and Bergman type projections

2003
For $\Omega$ a bounded domain in $\mathbb C$, bounded by a Jordan curve, $L^p_{\omega}(\Omega)$ denotes the $L^p$--space of measurable functions on $\Omega$ with respect to the weight $\omega(z) = (\text{dist\,} (z,\partial\Omega))^{\alpha}$, $\alpha >-1$. The corresponding Bergman space of analytic functions on $\Omega$ is denoted by \(
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A survey of the $$L^p$$ regularity of the Bergman projection

Complex Analysis and Its Synergies, 2020
Yunus E Zeytuncu
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 L Tchoundja, Brett D Wick
exaly

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

Complex Analysis and Operator Theory, 2023
exaly

Sharp Békollé estimates for the Bergman projection

Journal of Functional Analysis, 2013
Sandra Pott, Maria Carmen Reguera
exaly

Compactness of the∂¯-Neumann operator and commutators of the Bergman projection with continuous functions

Journal of Mathematical Analysis and Applications, 2014
Sonmez Sahutoglu
exaly