Results 21 to 30 of about 3,406 (215)

Algebraic Properties of Quasihomogeneous and Separately Quasihomogeneous Toeplitz Operators on the Pluriharmonic Bergman Space

Abstract and Applied Analysis, 2013
We study some algebraic properties of Toeplitz operator with quasihomogeneous or separately quasihomogeneous symbol on the pluriharmonic Bergman space of the unit ball in ℂn. We determine when the product of two Toeplitz operators with certain separately
Hongyan Guan, Liu Liu, Yufeng Lu
doaj   +1 more source

On the Commutativity of a Certain Class of Toeplitz Operators

Concrete Operators, 2014
One of the major goals in the theory of Toeplitz operators on the Bergman space over the unit disk D in the complex place C is to completely describe the commutant of a given Toeplitz operator, that is, the set of all Toeplitz operators that commute with
Louhichi Issam, Randriamahaleo Fanilo, Zakariasy Lova   +2 more
doaj   +1 more source

Quasinormality and Numerical Ranges of Certain Classes of Dual Toeplitz Operators

Abstract and Applied Analysis, 2010
The study of dual Toeplitz operators was elaborated by Stroethoff and Zheng (2002), where various corresponding algebraic and spectral properties were established.
Hocine Guediri
doaj   +1 more source

Toeplitz Operators with IMOs Symbols between Generalized Fock Spaces

Journal of Function Spaces, 2021
In this paper, we study the mapping properties of Toeplitz operators Tf associated with IMOs  symbols f acting between two generalized Fock spaces Fφp, where ...
Yiyuan Zhang, Guangfu Cao, Li He
doaj   +1 more source

Toeplitz Operators on Dirichlet-Type Space of Unit Ball

Abstract 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

Normal Truncated Toeplitz Operators [PDF]

Complex Analysis and Operator Theory, 2017
The characterization of normal truncated Toepltiz operators is first given by Chalendar and Timotin. We give an elementary proof of their result without using the algebraic properties of truncated Toeplitz operators.
openaire   +2 more sources

Commuting Toeplitz operators and H-Toeplitz operators on Bergman space

AIMS Mathematics
In this paper, we consider the H-Toeplitz and Toeplitz operators acting on the Bergman space. First, we describe the characterizations of commutativity of two H-Toeplitz operators with certain harmonic symbols.
Qian Ding
doaj   +1 more source

Fredholm and Schatten Class Operators on Bergman Spaces with Exponential Weights

Journal of Function Spaces, 2023
In this paper, we give a characterization of Fredholmness of the Toeplitz operators on the Bergman spaces Aφp with exponential weights in D when ...
Xuedi Ma, Xiaofeng Wang, Jin Xia
doaj   +1 more source

Dual Toeplitz Operators on Bounded Symmetric Domains

Mathematics
We give some characterizations of dual Toeplitz operators acting on the orthogonal complement of the Bergman space over bounded symmetric domains. Our main result characterizes those finite sums of products of Toeplitz operators that are themselves dual ...
Jianxiang Dong
doaj   +1 more source

Toeplitz Operators with Quasihomogeneous Symbols on the Bergman Space of the Unit Ball

Journal of Function Spaces and Applications, 2012
We consider when the product of two Toeplitz operators with some quasihomogeneous symbols on the Bergman space of the unit ball equals a Toeplitz operator with quasihomogeneous symbols.
Bo Zhang, Yufeng Lu
doaj   +1 more source