Results 1 to 10 of about 603 (182)

On th-Order Slant Weighted Toeplitz Operator [PDF]

open access: yesThe Scientific World Journal, 2013
Let be a sequence of positive numbers with , when and when . A th-order slant weighted Toeplitz operator on is given by , where is the multiplication on and is an operator on given by , being the orthonormal basis for . In this paper, we define
S. C. Arora, Ritu Kathuria
doaj   +2 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

Dual Toeplitz Operators on the Orthogonal Complement of the Fock–Sobolev Space

open access: yesJournal of Mathematics, 2023
In this paper, we consider the dual Toeplitz operators on the orthogonal complement of the Fock–Sobolev space and characterize their boundedness and compactness.
Li He, Biqian Wu
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

Hypercyclic Toeplitz Operators [PDF]

open access: yesResults in Mathematics, 2016
Minor corrections.
Anton Baranov, Andrei Lishanskii
openaire   +3 more sources

Asymmetric truncated Toeplitz operators and Toeplitz operators with matrix symbol [PDF]

open access: yesJournal of Operator Theory, 2017
Truncated Toeplitz operators and their asymmetric versions are studied in the context of the Hardy space $H^p$ of the half-plane for ...
Camara, MC, Partington, JR
openaire   +3 more sources

Remarks on hyponormal Toeplitz operators with nonharmonic symbols

open access: yesOpen Mathematics, 2023
In this article, we present some necessary or sufficient conditions for the hyponormality of Toeplitz operator Tφ{T}_{\varphi } on the Bergman space A2(D){A}^{2}\left({\mathbb{D}}).
Kim Sumin, Lee Jongrak
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

Toeplitz Operators on Dirichlet-Type Space of Unit Ball

open access: yesAbstract and Applied Analysis, 2014
We construct a function u in L2Bn, dV which is unbounded on any neighborhood of each boundary point of Bn such that Toeplitz operator Tu is a Schatten p-class ...
Jin Xia, Xiaofeng Wang, Guangfu Cao
doaj   +1 more source

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