Results 1 to 10 of about 18,154 (228)

Sharp function estimates and boundedness for Toeplitz-type operators associated with general fractional integral operators [PDF]

open access: goldOpen Mathematics, 2021
In this paper, we establish some sharp maximal function estimates for certain Toeplitz-type operators associated with some fractional integral operators with general kernel.
Chen Dazhao, Huang Hui
doaj   +2 more sources

Hypercyclic Toeplitz operators [PDF]

open access: yesResults in Mathematics, 2016
We study hypercyclicity of the Toeplitz operators in the Hardy space $H^2(\mathbb{D})$ with symbols of the form $p(\bar{z}) +\phi(z)$, where $p$ is a polynomial and $\phi \in H^\infty(\mathbb{D})$.
Baranov, Anton, Lishanskii, Andrei
core   +3 more sources

Toeplitz and slant Toeplitz operators on the polydisk [PDF]

open access: yesArab Journal of Mathematical Sciences, 2021
For n ≥ 1, let Dn be the polydisk in ℂn, and let Tn be the n-torus. L2(Tn) denotes the space of Lebesgue square integrable functions on Tn. In this paper we define slant Toeplitz operators on L2(Tn).
Munmun Hazarika, Sougata Marik
doaj   +4 more sources

On Compactness of Products of Toeplitz Operators. [PDF]

open access: yesComplex Anal Oper Theory
Abstract We study compactness of product of Toeplitz operators with symbols continuous on the closure of the polydisc in terms of behavior of the symbols on the boundary. For certain classes of symbols f and g, we show that $$T_fT_g$$
Le T, Rodriguez TM, Şahutoğlu S.
europepmc   +5 more sources

Toeplitz operators on symplectic manifolds [PDF]

open access: yesJournal of Geometric Analysis, 2008
We study the Berezin-Toeplitz quantization on symplectic manifolds making use of the full off-diagonal asymptotic expansion of the Bergman kernel. We give also a characterization of Toeplitz operators in terms of their asymptotic expansion.
A. Adem   +37 more
core   +4 more sources

Two fast algorithms for finding the solution of the lower Hessenberg quasi-Toeplitz linear system from Markov chain [PDF]

open access: yesScientific Reports
We present two fast algorithms for finding the solution of the nonsingular lower Hessenberg quasi-Toeplitz linear system stem from Markov chain. And we confirm the complexity of these two algorithms is both O $$(n\log n)$$ based on the fact that a lower ...
Yaru Fu   +3 more
doaj   +2 more sources

Localization and Toeplitz Operators on Polyanalytic Fock Spaces [PDF]

open access: green, 2011
The well know conjecture of {\it Coburn} [{\it L.A. Coburn, {On the Berezin-Toeplitz calculus}, Proc. Amer. Math. Soc. 129 (2001) 3331-3338.}] proved by {\it Lo} [{\it M-L. Lo, {The Bargmann Transform and Windowed Fourier Transform}, Integr. equ.
Faustino, Nelson
core   +3 more sources

Toeplitz operators and Wiener-Hopf factorisation: an introduction

open access: yesConcrete Operators, 2017
Wiener-Hopf factorisation plays an important role in the theory of Toeplitz operators. We consider here Toeplitz operators in the Hardy spaces Hp of the upper half-plane and we review how their Fredholm properties can be studied in terms of a Wiener-Hopf
Câmara M. Cristina
doaj   +3 more sources

The commutant of analytic Toeplitz operators [PDF]

open access: bronzeTransactions of the American Mathematical Society, 1973
In this paper we study the commutant of an analytic Toeplitz operator. For ϕ H ∞ \phi \;\;{H^\infty } , let ϕ = χ F \phi = \chi F be its inner-outer factorization. Our main result is that if there exists
James A. Deddens, Tin Kin Wong
openalex   +2 more sources

Generalized Crofoot transform and applications

open access: yesConcrete Operators, 2023
Matrix-valued asymmetric truncated Toeplitz operators are compressions of multiplication operators acting between two model spaces. These are the generalization of matrix-valued truncated Toeplitz operators. In this article, we describe symbols of matrix-
Khan Rewayat, Farooq Aamir
doaj   +1 more source

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