On weights which admit the reproducing kernel of Bergman type.

Pasternak-Winiarski, Zbigniew

Displaying similar documents to “On weights which admit the reproducing kernel of Bergman type.”

Weighted integrals of holomorphic functions in the unit polydisc.

Stević, Stevo (2005)

Journal of Inequalities and Applications [electronic only]

Similarity:

Weighted composition operators between Bergman spaces.

E. Wolf (2009)

RACSAM

Similarity:

Weighted Bergman projections and tangential area integrals

William Cohn (1993)

Studia Mathematica

Similarity:

Let Ω be a bounded strictly pseudoconvex domain in $ℂ^{n}$ . In this paper we find sufficient conditions on a function f defined on Ω in order that the weighted Bergman projection $P_{s} f$ belong to the Hardy-Sobolev space $H_{k}^{p} (\partial Ω)$ . The conditions on f we consider are formulated in terms of tent spaces and complex tangential vector fields. If f is holomorphic then these conditions are necessary and sufficient in order that f belong to the Hardy-Sobolev space $H_{k}^{p} (\partial Ω)$ .

On an integral-type operator acting between Bloch-type spaces on the unit ball.

Stević, Stevo, Ueki, Sei-Ichiro (2010)

Abstract and Applied Analysis

Similarity:

Weighted composition operators from generalized weighted Bergman spaces to weighted-type spaces.

Gu, Dinggui (2008)

Journal of Inequalities and Applications [electronic only]

Similarity:

On the Forelli-Rudin construction and weighted Bergman projections

Ewa Ligocka (1989)

Studia Mathematica

Similarity:

Pointwise estimates for the weighted Bergman projection kernel in $ℂ^{n}$ , using a weighted $L^{2}$ estimate for the $\bar{\partial}$ equation

Henrik Delin (1998)

Annales de l'institut Fourier

Similarity:

Weighted $L^{2}$ estimates are obtained for the canonical solution to the $\overline{\partial}$ equation in $L^{2} (ℂ^{n}, e^{- φ} d λ)$ , where $Ω$ is a pseudoconvex domain, and $φ$ is a strictly plurisubharmonic function. These estimates are then used to prove pointwise estimates for the Bergman projection kernel in $L^{2} (ℂ^{n}, e^{- φ} d λ)$ . The weight is used to obtain a factor $e^{- ϵ ρ (z, ζ)}$ in the estimate of the kernel, where $ρ$ is the distance function in the Kähler metric given by the metric form $i \partial \overline{\partial} φ$ .

Weighted Bergman kernel: asymptotic behavior, applications and comparison results

Bo-Yong Chen (2006)

Studia Mathematica

Similarity:

Inspired by the work of Engliš, we study the asymptotic behavior of the weighted Bergman kernel together with an application to the Lu Qi-Keng conjecture. Some comparison results between the weighted and the classical Bergman kernel are also obtained.

Weighted sub-Bergman Hilbert spaces

Maria Nowak, Renata Rososzczuk (2014)

Annales UMCS, Mathematica

Similarity:

We consider Hilbert spaces which are counterparts of the de Branges-Rovnyak spaces in the context of the weighted Bergman spaces A2α, −1 < α < ∞. These spaces have already been studied in [8], [7], [5] and [1]. We extend some results from these papers