Results 41 to 50 of about 3,392 (265)

Fourier representations in Bergman spaces

open access: yesJournal of Mathematical Analysis and Applications, 2019
We consider a class of domains, generalizing the upper half-plane, and admitting rotational, translational and scaling symmetries, analogous to the half-plane. We prove Paley-Wiener type representations of functions in Bergman spaces of such domains with respect to each of these three groups of symmetries.
Debraj Chakrabarti, Pranav Upadrashta
openaire   +3 more sources

A class of integral operators from Lebesgue spaces into harmonic Bergman-Besov or weighted Bloch spaces [PDF]

open access: yes, 2021
We consider a class of two-parameter weighted integral operators induced by harmonic Bergman-Besov kernels on the unit ball of Rn and characterize precisely those that are bounded from Lebesgue spaces Lp?
Ömer Faruk DOĞAN, Doğan, Ö.F.
core   +1 more source

Bergman spaces with exponential type weights

open access: yesJournal of Inequalities and Applications, 2021
For 1 ≤ p < ∞ $1\le ...
Hicham Arroussi
doaj   +1 more source

Weighted sub-Bergman Hilbert spaces [PDF]

open access: yes, 2014
We consider Hilbert spaces which are counterparts of the de Branges-Rovnyak spaces in the context of the weighted Bergman spaces \(A^2_{\alpha}\), \(−1 < \alpha < \infty\). These spaces have already been studied in [8], [7], [5] and [1].
Rososzczuk, Renata, Nowak, Maria
core   +2 more sources

Bergman spaces on finitely connected domains [PDF]

open access: yes, 2022
In this thesis study, the weighted Bergman spaces on finitely connected planar domains are investigated. They are isomorphic to the product of weighted Bergman spaces on the unit disk.
Sönmez, Sinem Yelda
core  

A Theorem of Nehari Type on Weighted Bergman Spaces of the Unit Ball

open access: yesAbstract and Applied Analysis, 2008
This paper shows that if S is a bounded linear operator acting on the weighted Bergman spaces Aα2 on the unit ball in ℂn such that STzi=Tz¯iS (i=1,…,n), where Tzi=zif and Tz¯i=P(z¯if); and where P is the weighted Bergman projection, then S must be a ...
Yufeng Lu, Jun Yang
doaj   +1 more source

Polynomial Approximation in Bergman Spaces

open access: yesUkrainian Mathematical Journal, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +4 more sources

Sustainable Materials Design With Multi‐Modal Artificial Intelligence

open access: yesAdvanced Science, EarlyView.
Critical mineral scarcity, high embodied carbon, and persistent pollution from materials processing intensify the need for sustainable materials design. This review frames the problem as multi‐objective optimization under heterogeneous, high‐dimensional evidence and highlights multi‐modal AI as an enabling pathway.
Tianyi Xu   +8 more
wiley   +1 more source

On weights which admit the reproducing kernel of Bergman type

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1992
In this paper we consider (1) the weights of integration for which the reproducing kernel of the Bergman type can be defined, i.e., the admissible weights, and (2) the kernels defined by such weights.
Zbigniew Pasternak-Winiarski
doaj   +1 more source

Weighted Sub-Bergman Hilbert spaces in the unit ball of ℂn

open access: yesConcrete Operators, 2020
In this note, we study defect operators in the case of holomorphic functions of the unit ball of ℂn. These operators are built from weighted Bergman kernel with a holomorphic vector.
Rososzczuk Renata, Symesak Frédéric
doaj   +1 more source

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