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Meromorphic Bergman Spaces [PDF]

open access: yesUkrains’kyi Matematychnyi Zhurnal, 2022
We introduce new spaces of holomorphic functions on the pointed unit disc in ℂ generalizing the classical Bergman spaces. We prove some fundamental properties of these spaces and their dual spaces.
Noureddine Ghiloufi, M. Zaway
semanticscholar   +4 more sources

Hausdorff operators on Bergman spaces of the upper half plane [PDF]

open access: yesConcrete Operators, 2020
In this paper we study Hausdorff operators on the Bergman spaces Ap(𝕌) of the upper half plane.
Stylogiannis Georgios
doaj   +2 more sources

Volterra type integration operators from Bergman spaces to Hardy spaces [PDF]

open access: yesJournal of Functional Analysis, 2019
We completely characterize the boundedness of the Volterra type integration operators $J_b$ acting from the weighted Bergman spaces $A^p_\alpha$ to the Hardy spaces $H^q$ of the unit ball of $\mathbb{C}^n$ for all ...
Miihkinen, Santeri   +3 more
core   +2 more sources

Chui’s conjecture in Bergman spaces [PDF]

open access: yesMathematische Annalen, 2020
We solve an analog of Chui’s conjecture on the simplest fractions (i.e., sums of Cauchy kernels with unit coefficients) in weighted (Hilbert) Bergman spaces.
E. Abakumov, A. Borichev, K. Fedorovskiy
semanticscholar   +4 more sources

Compact differences of weighted composition operators on the weighted Bergman spaces [PDF]

open access: yesJournal of Inequalities and Applications, 2017
In this paper, we consider the compact differences of weighted composition operators on the standard weighted Bergman spaces. Some necessary and sufficient conditions for the differences of weighted composition operators to be compact are given, which ...
Maocai Wang, Xingxing Yao, Fen Chen
doaj   +2 more sources

Stević–Sharma‐type operators between Bergman spaces induced by doubling weights [PDF]

open access: yesMathematical methods in the applied sciences, 2023
Using Khinchin's inequality, Geršgorin's theorem, and the atomic decomposition of Bergman spaces, we estimate the norm and essential norm of Stević–Sharma‐type operators between weighted Bergman spaces Aωp$$ {A}_{\omega}^p $$ and Aμq$$ {A}_ ...
Juntao Du, Songxiao Li, Zuoling Liu
semanticscholar   +1 more source

Hypercontractive inequalities for weighted Bergman spaces [PDF]

open access: yesBulletin of the London Mathematical Society, 2022
We obtain sharp Lp→Lq$L^p\rightarrow L^q$ hypercontractive inequalities for the weighted Bergman spaces on the unit disk D$\mathbb {D}$ with the usual weights α−1π(1−|z|2)α−2,α>1$\frac{\alpha -1}{\pi }{(1-|z|^2)}^{\alpha -2},\alpha >1$ for q⩾2$q\geqslant
Petar Melentijević
semanticscholar   +1 more source

Toeplitz operators on Bergman spaces with exponential weights [PDF]

open access: yesComplex Variables and Elliptic Equations, 2021
In this paper, we focus on the weighted Bergman spaces in with . We first give characterizations of those finite positive Borel measures µ in such that the embedding is bounded or compact for .
Yiyuan Zhang   +2 more
semanticscholar   +1 more source

On new sharp embedding theorems for multifunctional Herz-type and Bergman-type spaces in tubular domains over symmetric cones

open access: yesVestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2021
We introduce new multifunctional mixed norm analytic Herz-type spaces in tubular domains over symmetric cones and provide new sharp embedding theorems for them. Some results are new even in case of onefunctional holomorphic spaces. Some new related sharp
Shamoyan, R.F., Tomashevskaya, E.B.
doaj   +1 more source

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