Results 41 to 50 of about 1,132 (169)

Positive Toeplitz operators between doubling Fock spaces

open access: yes四川大学学报. 自然科学版, 2020
In this paper, we characterize the boundedness and compactness of the Toeplitz operator between doubling Fock spaces in terms of averaging functions and t-Berezin transform.
JIAN Shu-Man, WANG Xiao-Feng, XIA Jin
doaj  

Best Approximations in Hardy Spaces on Infinite-Dimensional Unitary Matrix Groups

open access: yesAbstract and Applied Analysis, 2014
We investigate the problem of best approximations in the Hardy space of complex functions, defined on the infinite-dimensional unitary matrix group. Applying an abstract Besov-type interpolation scale and the Bernstein-Jackson inequalities, a behavior of
Oleh Lopushansky
doaj   +1 more source

Wick Products Under Bogoliubov Transformations on Guichardet–Fock Space

open access: yesMathematics
We construct Wick products by creation and annihilation operators on Guichardet–Fock spaces F and obtain commutation relations and s—adapted characters about the Wick products.
Jihong Zhang, Xiaochun Sun
doaj   +1 more source

Electromagnetic multipole of positive and negative parity states in 24Mg by elastic and inelastic electron scattering

open access: yesIraqi Journal of Physics, 2019
In the present work, the nuclear shell model with Hartree–Fock (HF) calculations have been used to investigate the nuclear structure of 24Mg nucleus. Particularly, elastic and inelastic electron scattering form factors and transition probabilities have ...
NOORI S. Manie, Ali A. Alzubadi
doaj   +1 more source

The Generalized Mehler–Fock Transform over Lebesgue Spaces

open access: yesFoundations
This paper focuses on establishing boundedness properties and Parseval–Goldstein-type relations for the generalized Mehler–Fock transform initially introduced by B. L. J. Braaksma and B. M. Meulenbeld (Compositio Math., 18(3):235–287, 1967).
Jeetendrasingh Maan   +2 more
doaj   +1 more source

Sarason’s Conjecture of Toeplitz Operators on Fock-Sobolev Type Spaces

open access: yesJournal of Function Spaces, 2018
In this note, we will solve Sarason’s conjecture on the Fock-Sobolev type spaces and give a well solution that if Toeplitz product TuTv¯, with entire symbols u and v, is bounded if and only if u=eq, v=Ce-q, where q is a linear complex polynomial and C is
Xiaofeng Wang, Jianjun Chen, Jin Xia
doaj   +1 more source

CLUSTER STRUCTURES ON HIGHER TEICHMULLER SPACES FOR CLASSICAL GROUPS

open access: yesForum of Mathematics, Sigma, 2019
Let $S$ be a surface, $G$ a simply connected classical group, and $G^{\prime }$ the associated adjoint form of the group. We show that the moduli spaces of framed local systems ${\mathcal{X}}_{G^{\prime },S}$ and ${\mathcal{A}}_{G,S}$, which were ...
IAN LE
doaj   +1 more source

Linear differential equations with coefficients in Fock type space

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2011
In this paper we deal with complex differential equations of the form \begin{eqnarray*} f^{(k)}+a_{k-1}(z)f^{(k-1)}+\cdot\cdot\cdot+a_{1}(z)f^{'}+a_{0}(z)f=0 \end{eqnarray*} with the coefficients in Fock type space.
Xiang Dong Yang, Jin Tu
doaj   +1 more source

Toeplitz Operators on Harmonic Fock Spaces with Radial Symbols

open access: yesMathematics
The main aim of this paper is to study new features and specific properties of the Toeplitz operator with radial symbols in harmonic Fock spaces. A new spectral decomposition of a Toeplitz operator with Wick symbols is also established.
Zhi-Ling Sun, Wei-Shih Du, Feng Qi
doaj   +1 more source

An Analytic Characterization of p,q-White Noise Functionals

open access: yesJournal of Mathematics, 2020
In this paper, a characterization theorem for the S-transform of infinite dimensional distributions of noncommutative white noise corresponding to the p,q-deformed quantum oscillator algebra is investigated.
Anis Riahi   +3 more
doaj   +1 more source

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