Results 21 to 30 of about 1,915 (105)

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

Sampling measures [PDF]

, 1998
We give a description of all measures such that for any function in a weighted Fock spaces the $L^p$ norm with respect to the measure is equivalent to the usual norm in the space.
Ortega-Cerdà, Joaquim
core   +2 more sources

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, Guangfu Cao, Li He, John R. Akeroyd   +3 more
wiley   +1 more source

UEG Week 2024 Moderated Posters [PDF]

United European Gastroenterol J
United European Gastroenterology Journal, Volume 12, Issue S8, Page 201-664, October 2024.
europepmc   +2 more sources

Hankel operators on Fock spaces [PDF]

, 2013
We study Hankel operators on the weighted Fock spaces Fp. The boundedness and compactness of these operators are characterized in terms of BMO and VMO, respectively.
Perala, A., Schuster, A., Virtanen, Jani A.   +2 more
core   +1 more source

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

Variable Exponent Fock Spaces [PDF]

Czechoslovak Mathematical Journal, 2017
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.
Gerardo A. Chacón, G. Chacón
semanticscholar   +1 more source

Some weighted estimates for the dbar- equation and a finite rank theorem for Toeplitz operators in the Fock space [PDF]

, 2013
We consider the $\dbar-$ equation in $\C^1$ in classes of functions with Gaussian decay at infinity. We prove that if the right-hand side of the equation is majorated by $\exp(-q|z|^2)$, with some positive $q$, together with derivatives up to some order,
Rozenblum, Grigori, Shirokov, Nikolay
core   +1 more source