Results 11 to 20 of about 673 (167)
Composition-Differentiation Operator on the Bergman Space
Pan-American Journal of Mathematics, 2023 We investigate the properties of composition-differentiation operator Dψ on the Bergman space of the unit disk L2a(D). Specifically, we characterize the properties of the reproducing kernel for the derivatives of the Bergman space functions. Moreover, we
K. O. Aloo, J. O. Bonyo, I. Okello
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Vestnik 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.
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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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The Maximum Locus of the Bloch Norm
Moroccan Journal of Pure and Applied Analysis, 2023 For a Bloch function f in the unit ball in ℂn, we study the maximal locus of the Bloch norm of f; namely, the set Lf where the Bergman length of the gradient vector field of f attains its maximum.
El Hassan Youssfi
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Algebraicity of the Bergman kernel
Mathematische Annalen, 2023 Our main result introduces a new way to characterize two-dimensional finite ball quotients by algebraicity of their Bergman kernels. This characterization is particular to dimension two and fails in higher dimensions, as is illustrated by a counterexample in dimension three constructed in this paper.
Peter Ebenfelt, Ming Xiao, Hang Xu
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Weighted Bergman kernels and virtual Bergman kernels [PDF]
Science in China Series A: Mathematics, 2005 12 pages. One-hour lecture for graduate students, SCV 2004, August 2004, Beijing, P.R. China.
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Bergman Kernel from Path Integral [PDF]
Communications in Mathematical Physics, 2009 We rederive the expansion of the Bergman kernel on Kahler manifolds developed by Tian, Yau, Zelditch, Lu and Catlin, using path integral and perturbation theory, and generalize it to supersymmetric quantum mechanics. One physics interpretation of this result is as an expansion of the projector of wave functions on the lowest Landau level, in the ...
Douglas, Michael, Klevtsov, Semyon
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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 kernels of elementary Reinhardt domains [PDF]
Pacific Journal of Mathematics, 2020 Typos corrected.
Chakrabarti, Debraj +3 more
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The Zeros of the Bergman Kernel for Some Reinhardt Domains
Journal of Function Spaces, 2016 We consider the Reinhardt domain Dn={(ζ,z)∈C×Cn:|ζ ...
Jong-Do Park
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