Results 11 to 20 of about 451,582 (212)
Log-Hyperconvexity Index and Bergman Kernel [PDF]
International Journal of Mathematics, 2022 A BSTRACT . We obtain a quantitative estimate of Bergman distance when Ω ⊂ C n is a bounded domain with log-hyperconvexity index α l (Ω) > n − 1+ √ ( n − 1)( n +3) 2 , as well as the A 2 (log A ) q integrability of the Bergman kernel K Ω ( · , w ) when α
Boyong Chen, Z. Zheng
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The Reduced Bergman kernel and its properties [PDF]
International Journal of Mathematics, 2022 In this article, we study some properties of the $n$-th order weighted reduced Bergman kernels for planar domains, $n\geq 1$. Specifically, we look at Ramadanov type theorems, localization, and boundary behaviour of the weighted reduced Bergman kernel ...
Sahil Gehlawat +2 more
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On the Bergman kernel in weighted monogenic Bargmann-Fock spaces [PDF]
Advances in Mathematics, 2021 In this paper, we study the Bergman kernel $B_\varphi(x,y)$ of generalized Bargmann-Fock spaces in the setting of Clifford algebra. The versions of $L^2$-estimate method and weighted subharmonic inequality for Clifford algebra are established ...
Weixiong Mai, Guokuan Shao
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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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Rigidity Theorem by the Minimal Point of the Bergman Kernel [PDF]
Journal of Geometric Analysis, 2020 We use the Suita conjecture (now a theorem) to prove that for any domain Ω⊂C\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \
R. X. Dong, John N. Treuer
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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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Bochner Laplacian and Bergman kernel expansion of semipositive line bundles on a Riemann surface [PDF]
Mathematische Annalen, 2018 We generalize the results of Montgomery (Commun Math Phys 168:651–675, 1995) for the Bochner Laplacian on high tensor powers of a line bundle. When specialized to Riemann surfaces, this leads to the Bergman kernel expansion for semipositive line bundles ...
G. Marinescu, Nikhil Savale
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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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