Results 1 to 10 of about 2,570 (220)

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

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

Chaos for the Dynamics of Toeplitz Operators

open access: yesMathematics, 2022
Chaotic properties in the dynamics of Toeplitz operators on the Hardy–Hilbert space H2(D) are studied. Based on previous results of Shkarin and Baranov and Lishanskii, a characterization of different versions of chaos formulated in terms of the ...
Salud Bartoll   +3 more
doaj   +3 more sources

Algebraic Properties of Toeplitz Operators on the Polydisk [PDF]

open access: yesAbstract and Applied Analysis, 2011
We discuss some algebraic properties of Toeplitz operators on the Bergman space of the polydisk Dn. Firstly, we introduce Toeplitz operators with quasihomogeneous symbols and property (P).
Bo Zhang, Yanyue Shi, Yufeng Lu
doaj   +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

Schatten class operators on exponential weighted Bergman spaces

open access: yesJournal of Inequalities and Applications, 2023
In this paper, we study Toeplitz and Hankel operators on exponential weighted Bergman spaces.
Xiaofeng Wang, Jin Xia, Youqi Liu
doaj   +1 more source

Invertibility and Fredholm Property of Fock Toeplitz Operators

open access: yesMathematics, 2023
We characterize some necessary and sufficient conditions of invertible Toeplitz operators acting on the Fock space. In particular, we study the Fredholm properties of Toeplitz operators with BMO1 symbols, where their Berezin transforms are bounded ...
Chunxu Xu, Tao Yu
doaj   +1 more source

Algebraic Properties of Toeplitz Operators on the Pluriharmonic Bergman Space

open access: yesJournal of Function Spaces and Applications, 2013
We study some algebraic properties of Toeplitz operators with radial or quasihomogeneous symbols on the pluriharmonic Bergman space. We first give the necessary and sufficient conditions for the product of two Toeplitz operators with radial symbols to be
Jingyu Yang, Liu Liu, Yufeng Lu
doaj   +1 more source

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

open access: yesOpen 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   +1 more source

Absolutely minimum attaining Toeplitz and absolutely norm attaining Hankel operators

open access: yesComptes Rendus. Mathématique, 2023
In this article, we completely characterize absolutely norm attaining Hankel operators and absolutely minimum attaining Toeplitz operators. We also improve [19, Theorem 2.1], by characterizing the absolutely norm attaining Toeplitz operator $T_\varphi ...
Ramesh, Golla, Sequeira, Shanola S.
doaj   +1 more source

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