Results 11 to 20 of about 2,222 (252)
Order-Bounded Difference in Weighted Composition Operators Between Fock Spaces
MathematicsThere are two aims in this paper. The first aim is to characterize the order-bounded weighted composition operators between Fock spaces, and the second is to further characterize the order-bounded difference in weighted composition operators between Fock
Xiao-Feng Peng, Zhi-Jie Jiang
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Fourier transforms in generalized Fock spaces [PDF]
International Journal of Mathematics and Mathematical Sciences, 1990 A classical Fock space consists of functions of the form,Φ↔(ϕ0,ϕ1,…,ϕq,…),where ϕ0∈C and ϕq∈L2(R3q), q≥1. We will replace the ϕq, q≥1 with q-symmetric rapid descent test functions within tempered distribution theory.
John Schmeelk
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Hankel Operators on Fock Spaces [PDF]
, 2013 We study Hankel operators on the weighted Fock spaces\ud Fp. The boundedness and compactness of these operators are characterized in terms of BMO and VMO, respectively. Along the way, we also study Berezin transform and harmonic conjugates on the plane.
Perala, A. +2 more
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Superoscillations and Fock spaces
Journal of Mathematical Physics, 2023 In this paper we use techniques in Fock spaces theory and compute how the Segal-Bargmann transform acts on special wave functions obtained by multiplying superoscillating sequences with normalized Hermite functions. It turns out that these special wave functions can be constructed also by computing the approximating sequence of the normalized Hermite ...
Daniel Alpay +4 more
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Weighted superposition operators on Fock spaces [PDF]
, 2022 We characterize all pairs of entire functions (u,ψ) for which the induced weighted superposition operator S(u,ψ) transforms one Fock space into another Fock space.
Mengestie, Tesfa
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Fredholm Toeplitz operators on doubling Fock spaces [PDF]
, 2021 Recently the authors characterized the Fredholmn properties of Toeplitz operators on weighted Fock spaces when the Laplacian of the weight function is bounded below and above.
Hu, Zhangjian, Virtanen, Jani A.
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Variable exponent Fock spaces [PDF]
, 2020 summary:We introduce variable exponent Fock spaces and study some of their basic properties such as 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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Fredholm theory of Toeplitz operators on doubling Fock Hilbert spaces [PDF]
, 2020 We study the Fredholm properties of Toeplitz operators acting on doubling Fock Hilbert spaces, and describe their essential spectra for bounded symbols of vanishing oscillation.
Al-Qabani, Aamena +2 more
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On Toeplitz operators between different Fock–Sobolev-type spaces
Journal of Inequalities and Applications, 2023 In this paper, we characterize those positive Borel measurable symbols μ on C n $\mathbb{C}^{n}$ that induce the Toeplitz operators T μ α $T^{\alpha}_{\mu}$ to be bounded or compact between different Fock–Sobolev–type spaces F α p $F^{p}_{\alpha}$ and F ...
Jianjun Chen, Guangxia Xu
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Closed Range Integral Operators on Fock Spaces [PDF]
, 2023 We study the closed range problem for generalized Volterra-type integral operators on Fock spaces. We first answer the problem using the notions of sampling sets, reverse Fock–Carleson measures, Berezin type integral transforms, and essential boundedness
Fekadiea, Zenaw +2 more
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