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Factorization and reflexivity on Fock spaces [PDF]
Integral Equations and Operator Theory, 1995 The framework of the paper is that of the full Fock space ${\Cal F}^2({\Cal H}_n)$ and the Banach algebra $F^\infty$ which can be viewed as non-commutative analogues of the Hardy spaces $H^2$ and $H^\infty$ respectively. An inner-outer factorization for any element in ${\Cal F}^2({\Cal H}_n)$ as well as characterization of invertible elements in $F ...
Arias, Alvaro, Popescu, Gelu
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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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Toeplitz Operators with IMOs Symbols between Generalized Fock Spaces
Journal of Function Spaces, 2021 In this paper, we study the mapping properties of Toeplitz operators Tf associated with IMOs symbols f acting between two generalized Fock spaces Fφp, where ...
Yiyuan Zhang, Guangfu Cao, Li He
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East European Journal of Physics, 2023 Nuclear structure of 20,22Ne isotopes has been studied via the shell model with Skyrme-Hartree-Fock calculations. In particular, the transitions to the low-lying positive and negative parity excited states have been investigated within three shell model
Omar A. Alswaidawi, Ali Alzubadi
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Variable exponent Fock spaces [PDF]
Czechoslovak Mathematical Journal, 2019 In this article we introduce Variable exponent Fock spaces and study some of their basic properties such as the boundedness of evaluation functionals, density of polynomials, boundedness of a Bergman-type projection and duality.
Chacón, Gerardo R., Chacón, Gerardo A.
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Bulgarian Journal of Physics, 2020 A general theorem due to Howe of dual action of a classical group and a certain non-associative algebra on a space of symmetric or alternating tensors is reformulated in a setting of second quantization, and familiar examples in atomic and nuclear physics are discussed. The special case of orthogonal–orthogonal duality is treated in detail. It is shown
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Duality of Large Fock Spaces in Several Complex Variables and Compact Localization Operators
Journal of Function Spaces, 2021 In this paper, dual spaces of large Fock spaces Fϕp with ...
Youqi Liu, Xiaofeng Wang
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Hankel operators between different doubling Fock spaces
Journal of Inequalities and Applications, 2022 In this paper, we study Hankel operators on the doubling Fock spaces for all possible 1 ≤ p , q < ∞ $1\leq p ...
Jianjun Chen, Guangxia Xu
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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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, 2022 In a recent paper we used a basic decomposition property of polyanalytic functions of order $2$ in one complex variable to characterize solutions of the classical $\overline{\partial}$-problem for given analytic and polyanalytic data. Our approach suggested the study of a special reproducing kernel Hilbert space that we call the Hörmander-Fock space ...
Alpay, Daniel +4 more
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