Results 1 to 10 of about 43 (39)
Gysin sequences and SU(2)‐symmetries of C∗‐algebras
Transactions of the London Mathematical Society, 2021 Motivated by the study of symmetries of C∗‐algebras, as well as by multivariate operator theory, we introduce the notion of an SU(2)‐equivariant subproduct system of Hilbert spaces. We analyse the resulting Toeplitz and Cuntz–Pimsner algebras and provide
Francesca Arici, Jens Kaad
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Compactification and decompactification by weights on Bergman spaces [PDF]
Journal of Mathematical Analysis and Applications, 2021 We characterize the symbols φ for which there exists a weight w such that the weighted composition operator MwCφ is compact on the weighted Bergman space Bα. We also characterize the symbols for which there exists a weight w such that MwCφ is bounded but
P. Lefèvre +3 more
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Bounded and compact Hankel operators on the Fock-Sobolev spaces
Filomat, 2022 This paper focuses on the operator-theoretic properties (boundedness and compactness) of Hankel operators on the Fock-Sobolev spaces Fp,m in terms of symbols in BMO pr and VMO pr spaces, respectively, for a non-negative integers m, 1 ? p < ? and r > 0.
Anuradha Gupta, B. Gupta
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Remarks on hyponormal Toeplitz operators with nonharmonic symbols
Open Mathematics, 2023 In this article, we present some necessary or sufficient conditions for the hyponormality of Toeplitz operator Tφ{T}_{\varphi } on the Bergman space A2(D){A}^{2}\left({\mathbb{D}}).
Kim Sumin, Lee Jongrak
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Sharp inequalities for coherent states and their optimizers
Advanced Nonlinear Studies, 2023 We are interested in sharp functional inequalities for the coherent state transform related to the Wehrl conjecture and its generalizations. This conjecture was settled by Lieb in the case of the Heisenberg group, Lieb and Solovej for SU(2), and Kulikov ...
Frank Rupert L.
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Hausdorff operators on Bergman spaces of the upper half plane
Concrete Operators, 2020 In this paper we study Hausdorff operators on the Bergman spaces Ap(𝕌) of the upper half plane.
Stylogiannis Georgios
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Toeplitz Operators with Radial Symbols on Bergman Space and Schatten-von Neumann Classes
Zurnal matematiceskoj fiziki, analiza, geometrii, 2020 In the present paper, we study spectral properties of Toeplitz operators with (quasi-) radial symbols on Bergman space. More precisely, the problem we are interested in is to understand when a given Toeplitz operator belongs to a Schatten-von Neumann ...
Z. Bendaoud +4 more
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Annals of the West University of Timisoara: Mathematics and Computer Science, 2017 In this paper, we consider Toeplitz operators defined on the Bergman space La2(ℂ+)\msbm=MTMIB$L_a^2 \left( {{\msbm C}_+ } \right)$ of the right half plane and obtain Schatten class characterization of these operators. We have shown that if the Toeplitz
Das Namita, Behera Jitendra Kumar
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TOEPLITZ OPERATORS ON GENERALIZED FOCK SPACES
, 2016 . We study Toeplitz operators T ν on generalized Fock spacesF 2φ with a locally finite positive Borel measures ν as symbols. We char-acterize operator-theoretic properties (boundedness and compactness) ofT ν in terms of the Fock-Carleson measure and the ...
Hong-Rae Cho
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Generalized Hilbert operator on analytic function spaces [PDF]
Arab Journal of Mathematical SciencesPurposeThe main objective of this work is to study the boundedness property of a generalized Hilbert operator Hβ for β ≥ 0 defined by, if f(z)=∑n=0∞anzn be any analytic function on the unit disk D then Hβf(z)=∑n=0∞∑k=0∞Γ(n+β+1)Γ(n+k+1)Γ(n+1)Γ(n+k+β+2 ...
Simi Bhuyan, Sunanda Naik
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