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

Open 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

On th-Order Slant Weighted Toeplitz Operator [PDF]

The 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]

Arab 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]

Complex 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

The commutant of analytic Toeplitz operators [PDF]

Transactions 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

Product of H-Toeplitz operator and Toeplitz operator on the Bergman space

AIMS Mathematics, 2023
In this paper, we characterize when the product of two H-Toeplitz operators to be another H-Toeplitz with one general and another quasihomogeneous symbols.
Qian Ding , Yong Chen
doaj   +1 more source

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

Journal 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

Fredholm Toeplitz Operators [PDF]

Proceedings of the American Mathematical Society, 1970
Whether a Toeplitz operator on H 2 {H^2} is Fredholm is shown to depend only on the local behavior of the inducing function.
Douglas, R. G., Sarason, D.
openaire   +2 more sources

Hypercyclic Toeplitz Operators [PDF]

Results in Mathematics, 2016
Minor corrections.
Anton Baranov, Andrei Lishanskii
openaire   +3 more sources

Remarks on hyponormal Toeplitz operators with nonharmonic symbols

Open 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