Results 11 to 20 of about 1,915 (105)
Fredholm Toeplitz Operators on Doubling Fock Spaces [PDF]
Journal of Geometric Analysis, 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. In the present work the authors extend their characterization to doubling Fock
Zhangjian Hu, J. Virtanen
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Dominating sets in Bergman spaces and sampling constants [PDF]
Journal of Mathematical Analysis and Applications, 2020 We discuss sampling constants for dominating sets in Bergman spaces. Our method is based on a Remez-type inequality by Andrievskii and Ruscheweyh. We also comment on extensions of the method to other spaces such as Fock and Paley-Wiener spaces.
A. Hartmann +3 more
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A Faber–Krahn inequality for Wavelet transforms
Bulletin of the London Mathematical Society, Volume 55, Issue 4, Page 2018-2034, August 2023., 2023 Abstract For some special window functions ψα∈H2(C+)$\psi _{\alpha } \in H^2(\mathbb {C}^+)$, we prove that, over all sets Δ⊂C+$\Delta \subset \mathbb {C}^+$ of fixed hyperbolic measure ν(Δ)$\nu (\Delta )$, those for which the Wavelet transform Wψα$W_{\psi _{\alpha }}$ with window ψα$\psi _{\alpha }$ concentrates optimally are exactly the discs with ...
João P. G. Ramos, Paolo Tilli
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Dual Toeplitz Operators on the Orthogonal Complement of the Fock–Sobolev Space
Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023 In this paper, we consider the dual Toeplitz operators on the orthogonal complement of the Fock–Sobolev space and characterize their boundedness and compactness. It turns out that the dual Toeplitz operator Sf is bounded if and only if f ∈ L∞, and ‖Sf‖ = ‖f‖∞. We also obtain that the dual Toeplitz operator with L∞ symbol on orthogonal complement of the
Li He, Biqian Wu, Yongqiang Fu
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Fredholm and Schatten Class Operators on Bergman Spaces with Exponential Weights
Journal of Function Spaces, Volume 2023, Issue 1, 2023., 2023 In this paper, we give a characterization of Fredholmness of the Toeplitz operators on the Bergman spaces Aφp with exponential weights in D when 0 < p < ∞. Also, we obtain the sufficient and necessary conditions which the Toeplitz and Hankel operators on Aφ2 belong to h‐Schatten class, where h is a continuous increasing convex function.
Xuedi Ma +3 more
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Fock and Hardy spaces: Clifford Appell case
Mathematische Nachrichten, Volume 295, Issue 5, Page 834-860, May 2022., 2022 Abstract In this paper, we study a specific system of Clifford–Appell polynomials and, in particular, their product. Moreover, we introduce a new family of quaternionic reproducing kernel Hilbert spaces in the framework of Fueter regular functions.
Daniel Alpay, Kamal Diki, Irene Sabadini
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Beurling‐Type Theorem for a Class of Reproducing Kernel Hilbert Spaces
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 In this paper, it is proved that the Beurling‐type theorem holds for the shift operator on a class of reproducing analytic Hilbert spaces.
Zhi-jie Wang +3 more
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Boundedness and Compactness of Hankel Operators on Large Fock Space
Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 We introduce the BMO spaces and use them to characterize complex‐valued functions f such that the big Hankel operators Hf and Hf¯ are both bounded or compact from a weighted large Fock space Fp(ϕ) into a weighted Lebesgue space Lp(ϕ) when 1 ≤ p < ∞.
Xiaofeng Wang +2 more
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Gysin sequences and SU(2)‐symmetries of C∗‐algebras
Transactions of the London Mathematical Society, Volume 8, Issue 1, Page 440-492, December 2021., 2021 Abstract 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 results about their topological invariants through Kasparov's bivariant K‐theory.
Francesca Arici, Jens Kaad
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Zero Sets for Spaces of Analytic Functions [PDF]
, 2018 We show that under mild conditions, a Gaussian analytic function $\boldsymbol F$ that a.s. does not belong to a given weighted Bergman space or Bargmann-Fock space has the property that a.s.
Lyons, Russell, Zhai, Alex
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