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Toeplitz Operators with IMOs Symbols between Generalized Fock Spaces
Journal of Function Spaces, Volume 2021, Issue 1, 2021., 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 1 < s ≤ ∞. We characterize bounded or compact Toeplitz operators Tf from one generalized Fock space Fφp to another Fφq, respectively, in four cases.
Yiyuan Zhang +3 more
wiley +1 more source
UEG Week 2024 Moderated Posters [PDF]
United European Gastroenterol JUnited European Gastroenterology Journal, Volume 12, Issue S8, Page 201-664, October 2024.
europepmc +2 more sources
Localization and compactness of Operators on Fock Spaces [PDF]
, 2017 For ...
Hu, Zhangjian +2 more
core +3 more sources
Weak conditions for interpolation in holomorphic spaces [PDF]
, 2000 An analogue of the notion of uniformly separated sequences, expressed in terms of extremal functions, yields a necessary and sufficient condition for interpolation in Lp spaces of holomorphic functions of Paley-Wiener-type when $0 < p \leq 1$, of Fock-
Schuster, A. P., Seip, K.
core +3 more sources
Localized Frames and Compactness [PDF]
, 2015 We introduce the concept of weak-localization for generalized frames and use this concept to define a class of weakly localized operators. This class contains many important operators, including: Short Time Fourier Transform multipliers, Calderon ...
Batayneh, Fawwaz, Mitkovski, Mishko
core +1 more source
An integral representation for Besov and Lipschitz spaces
, 2011 It is well known that functions in the analytic Besov space $B_1$ on the unit disk $\D$ admits an integral representation $$f(z)=\ind\frac{z-w}{1-z\bar w}\,d\mu(w),$$ where $\mu$ is a complex Borel measure with $|\mu|(\D)
Arazy +6 more
core +1 more source
Heat and Laplace type equations with complex spatial variables in weighted Fock spaces
Electronic Journal of Differential Equations, 2020 In a recent book co-authored by the authors of this article, we studied by semigroup theory methods several classical evolution equations, including the heat and Laplace equations, with real time variable and complex spatial variable, under the ...
Ciprian G. Gal, Sorin G. Gal
doaj
Toeplitz algebras over Fock and Bergman spaces
Indiana University Mathematics Journal38 ...
Wu, Shengkun, Zhao, Xianfeng
openaire +3 more sources
New Inequalities and an Integral Expression for the 𝒜‐Berezin Number
Journal of Mathematics, Volume 2026, Issue 1, 2026.This work examines a reproducing kernel Hilbert space XF,·,· constructed on a nonempty set F. Our investigation focuses on the A‐Berezin number and the A‐Berezin norm, where A denotes a positive bounded linear operator acting on XF. For an A‐bounded linear operator B, the A‐Berezin seminorm is defined by BberA=supλ,ν∈FBu∧λ,u∧νA, where u∧λ and u∧ν are ...
Salma Aljawi +4 more
wiley +1 more source
Spectral triples and Toeplitz operators
, 2014 We give examples of spectral triples, in the sense of A. Connes, constructed using the algebra of Toeplitz operators on smoothly bounded strictly pseudoconvex domains in $C^n$, or the star product for the Berezin-Toeplitz quantization.
Englis, M., Falk, K., Iochum, B.
core +3 more sources