Results 11 to 20 of about 1,677 (75)

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
wiley   +1 more source

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
wiley   +1 more source

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, Xiaofeng Wang, Jin Xia, Calogero Vetro   +3 more
wiley   +1 more source

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
wiley   +1 more source

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, Jie-sheng Xiao, Xian-min Xu, Xiaolong Qin   +3 more
wiley   +1 more source

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, Zhicheng Zeng, Paola Rubbioni   +2 more
wiley   +1 more source

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
wiley   +1 more source

On the Fock Kernel for the Generalized Fock Space and Generalized Hypergeometric Series

Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021
In this paper, we compute the reproducing kernel Bm,α(z, w) for the generalized Fock space Fm,α2ℂ. The usual Fock space is the case when m = 2. We express the reproducing kernel in terms of a suitable hypergeometric series 1Fq. In particular, we show that there is a close connection between B4,α(z, w) and the error function.
Jong-Do Park, Guozhen Lu
wiley   +1 more source

Toeplitz Operators whose Symbols Are Borel Measures

Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021
In this paper, we are concerned with Toeplitz operators whose symbols are complex Borel measures. When a complex Borel measure μ on the unit circle is given, we give a formal definition of a Toeplitz operator Tμ with symbol μ, as an unbounded linear operator on the Hardy space. We then study various properties of Tμ. Among them, there is a theorem that
Jaehui Park, Chun Lu
wiley   +1 more source