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Bergman spaces with exponential type weights
Journal of Inequalities and Applications, 2021 For 1 ≤ p < ∞ $1\le ...
Hicham Arroussi
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One weight inequality for Bergman projection and Calderón operator induced by radial weight [PDF]
, 2021 Let ω and ν be radial weights on the unit disc of the complex plane such that ω admits the doubling property sup 0ďră1 ş 1 r ωpsq ds ş 1 1`r 2 ωpsq ds ă 8.
Francisco J. Mart'in Reyes +3 more
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Sobolev Estimates for the
Mathematics, 2023 Let D be a relatively compact domain in an n-dimensional Kähler manifold with a C2 smooth boundary that satisfies some “Hartogs-pseudoconvexity” condition.
Haroun Doud Soliman Adam +3 more
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Reproducing Kernels for Hardy and Bergman Spaces of the Upper Half Plane
Communications in Advanced Mathematical Sciences, 2020 Using invertible isometries between Hardy and Bergman spaces of the unit disk $\D$ and the corresponding spaces of the upper half plane $\uP$, we determine explicitly the reproducing kernels for the Hardy and Bergman spaces of $\uP$. As a consequence, we
Job Bonyo
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Bergman projection induced by radial weight. [PDF]
, 2019 The question of when the Bergman projection $P_\omega$ induced by a radial weight $\omega$ on the unit disc is a bounded operator from one space into another is of primordial importance in the theory of Bergman spaces.
J. A. Pel'aez, Jouni Rattya
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On Extremal Problems in Certain New Bergman Type Spaces in Some Bounded Domains in Cn
Journal of Function Spaces, 2014 Based on recent results on boundedness of Bergman projection with positive Bergman kernel in analytic spaces in various types of domains in Cn, we extend our previous sharp results on distances obtained for analytic Bergman type spaces in unit disk to ...
Romi F. Shamoyan, Olivera Mihić
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A direct approach to the analytic Bergman projection [PDF]
Annales de la Faculté des sciences de Toulouse : Mathématiques, 2020 We develop a direct approach to the semiclassical asymptotics for Bergman projections in exponentially weighted spaces of holomorphic functions, with real analytic strictly plurisubharmonic weights.
Alix Deleporte, M. Hitrik, J. Sjoestrand
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Bergman projections on weighted Fock spaces in several complex variables
Journal of Inequalities and Applications, 2017 Let ϕ be a real-valued plurisubharmonic function on C n ${\mathbb {C}}^{n}$ whose complex Hessian has uniformly comparable eigenvalues, and let F p ( ϕ ) $\mathcal{F}^{p}(\phi)$ be the Fock space induced by ϕ.
Xiaofen Lv
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Semi-Norms of the Bergman Projection [PDF]
Computational Methods and Function Theory, 2015 to appear in Computational Methods and Function ...
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A Theorem of Nehari Type on Weighted Bergman Spaces of the Unit Ball
Abstract 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
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