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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

Hankel and Toeplitz Determinants for q-Starlike Functions Involving a q-Analog Integral Operator and q-Exponential Function

open access: yesJournal of Function Spaces
This article investigates the upper bounds of the second Hankel and Toeplitz determinants for a family of q-starlike functions defined by a q-analog integral operator, which is a more general form of the q-Srivastava-Attiya operator, and the q ...
Maslina Darus   +2 more
exaly   +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   +1 more source

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

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

Commuting Quasihomogeneous Toeplitz Operator and Hankel Operator on Weighted Bergman Space

open access: yesAbstract and Applied Analysis, 2013
We characterize the commuting Toeplitz operator and Hankel operator with quasihomogeneous symbols. Also, we use it to show the necessary and sufficient conditions for commuting Toeplitz operator and Hankel operator with ordinary functions.
Jun Yang
doaj   +1 more source

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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