Results 1 to 10 of about 1,915 (105)
Bergman projections on weighted Fock spaces in several complex variables [PDF]
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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Hankel Operators on Fock Spaces and Related Bergman Kernel Estimates [PDF]
Journal of Geometric Analysis, 2011 Hankel operators with anti-holomorphic symbols are studied for a large class of weighted Fock spaces on $\cn$. The weights defining these Hilbert spaces are radial and subject to a mild smoothness condition. In addition, it is assumed that the weights decay at least as fast as the classical Gaussian weight.
Seip, Kristian, Youssfi, El Hassan
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Toeplitz algebras over Fock and Bergman spaces [PDF]
Indiana University Mathematics Journal, 2021 38 ...
Wu, Shengkun, Zhao, Xianfeng
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Localization and compactness in Bergman and Fock spaces [PDF]
Indiana University Mathematics Journal, 2015 v4: 18 pages, New version incorporates several changes suggested by the referee, version accepted by the Indiana University Mathematics ...
Isralowitz, Joshua +2 more
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Regularity of extremal functions in weighted Bergman and Fock type spaces [PDF]
Rocky Mountain Journal of Mathematics, 2019 We discuss the regularity of extremal functions in certain weighted Bergman and Fock type spaces. Given an appropriate analytic function $k$, the corresponding extremal function is the function with unit norm maximizing $\text{Re} \int_ f(z) \overline{k(z)}\, (z) \, dA(z)$ over all functions $f$ of unit norm, where $ $ is the weight function and $
T. Ferguson
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Sampling and interpolation in large Bergman and Fock spaces
Journal of Functional Analysis, 2007 We obtain sampling and interpolation theorems in weighted spaces of analytic functions for radial weights of arbitrary (more rapid than polynomial) growth. We give an application to invariant subspaces of arbitrary index in large weighted Bergman spaces.
Borichev, Alexander +2 more
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Heat and Laplace type equations with complex spatial variables in weighted Fock spaces
Electronic Journal of Differential Equations, 2020 In a recent book co-authored by the authors of this article, we studied by semigroup theory methods several classical evolution equations, including the heat and Laplace equations, with real time variable and complex spatial variable, under the ...
Ciprian G. Gal, Sorin G. Gal
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A fractal uncertainty principle for Bergman spaces and analytic wavelets [PDF]
Journal of Mathematical Analysis and Applications, 2022 . Motivated by results of Dyatlov on Fourier uncertainty principles for Cantor sets and by similar results of Knutsen for joint time-frequency representations (i.e., the short-time Fourier transform (STFT) with a Gaussian window, equivalent to Fock ...
L. D. Abreu, Z. Mouayn, F. Voigtlaender
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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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Toeplitz Operators on Fock Space over
Axioms, 2023 The first goal of this paper is to find a representation of the Fock space on Cn in terms of the weighted Bergman spaces of the projective spaces CPn−1; i.e., every function in the Fock space can be written as a direct sum of elements in weighted Bergman
Carlos González-Flores +3 more
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