Results 71 to 80 of about 3,554 (232)

Toeplitz Operators on Abstract Hardy Spaces Built upon Banach Function Spaces

Journal of Function Spaces, 2017
Let X be a Banach function space over the unit circle T and let H[X] be the abstract Hardy space built upon X. If the Riesz projection P is bounded on X and a∈L∞, then the Toeplitz operator Taf=P(af) is bounded on H[X].
Alexei Yu. Karlovich
doaj   +1 more source

H-Toeplitz operators on the Dirichlet type space

AIMS Mathematics
In this paper, we conducted a study of H-Toeplitz operators on the Dirichlet type space $ \mathfrak{D}_{t} $, which included several aspects. To begin, we established the matrix representation of the H-Toeplitz operator $ S_{\varphi} $ with respect to ...
Peiying Huang , Yiyuan Zhang
doaj   +1 more source

Toeplitz Operators on Weighted Bergman Spaces

Journal of Function Spaces and Applications, 2013
We characterize the boundedness and compactness of a Toeplitz-type operator on weighted Bergman spaces satisfying the Bekollé-Bonami condition in terms of the Berezin transform.
Gerardo R. Chacón
doaj   +1 more source

Hyponormality on a Weighted Bergman Space

Journal of Function Spaces, 2020
A bounded Hilbert space operator T is hyponormal if T∗T−TT∗ is a positive operator. We consider the hyponormality of Toeplitz operators on a weighted Bergman space.
Houcine Sadraoui, Borhen Halouani, Mubariz T. Garayev, Adel AlShehri   +3 more
doaj   +1 more source

Matrix Representations of Asymmetric Truncated Toeplitz Operators [PDF]

, 2020
Joanna Jurasik, Bartosz Łanucha
openalex   +1 more source

Characterizations of the product of asymmetric dual truncated Toeplitz operators

AIMS Mathematics
The asymmetric dual truncated Toeplitz operator (ADTTO) is a compression multiplication operator acting on the orthogonal complement of two different model spaces.
Zhenhui Zhu, Qi Wu, Yong Chen
doaj   +1 more source

Toeplitz Operator and Carleson Measure on Weighted Bloch Spaces

Journal of Function Spaces, 2019
In this paper, we consider Toeplitz operator acting on weighted Bloch spaces. Meanwhile, the inclusion map from weighted Bloch spaces into tent space is also investigated.
Yanhua Zhang
doaj   +1 more source

The Commutant of an Analytic Toeplitz Operator [PDF]

Transactions of the American Mathematical Society, 1978
For a function f in H ∞ {H^\infty } of the unit disk, the operator on H 2 {H^2} of multiplication by f will be denoted by T f {T_f} and its commutant by {
openaire   +2 more sources

Upper triangular Toeplitz matrices and real parts of quasinilpotent operators [PDF]

, 2012
Ken Dykema, Junsheng Fang, Anna Skripka
openalex   +1 more source

The Numerical Range of Toeplitz Operator on the Polydisk

Abstract and Applied Analysis, 2009
The numerical range and normality of Toeplitz operator acting on the Bergman space and pluriharmonic Bergman space on the polydisk is investigated in this paper.
Dinggui Gu
doaj   +1 more source