Results 11 to 20 of about 498,404 (212)

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   +2 more sources

Multidimensional Toeplitz and Truncated Toeplitz Operators [PDF]

, 2021
In this thesis we extend previous studies of Toeplitz and truncated Toeplitz operators by studying both Toeplitz and truncated Toeplitz operators with matrix symbols.
O'Loughlin, Ryan
core   +5 more sources

Classifying Higher Rank Toeplitz Operators. [PDF]

, 2007
To a higher rank directed graph (Λ, d), in the sense of Kumjian and Pask, 2000, one can associate natural noncommutative analytic Toeplitz algebras, both weakly closed and norm closed.
Power, S.C.
core   +4 more sources

Schatten class generalized Toeplitz operators on the Bergman space [PDF]

, 2021
summary:Let $\mu $ be a finite positive measure on the unit disk and let $j\geq 1$ be an integer. D. Suárez (2015) gave some conditions for a generalized Toeplitz operator $T_{\mu }^{(j)}$ to be bounded or compact.
Xu, Chunxu, Yu, Tao
core   +1 more source

Kernels of Toeplitz operators on the Bergman space

, 2023
summary:A Coburn theorem says that a nonzero Toeplitz operator on the Hardy space is one-to-one or its adjoint operator is one-to-one.
Lee, Young Joo
core   +1 more source

Algebraic Properties of Toeplitz Operators on the Polydisk

Abstract and Applied Analysis, 2011
We discuss some algebraic properties of Toeplitz operators on the Bergman space of the polydisk Dn. Firstly, we introduce Toeplitz operators with quasihomogeneous symbols and property (P).
Bo Zhang, Yanyue Shi, Yufeng Lu
doaj   +1 more source

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

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   +1 more source

Algebraic Properties of Toeplitz Operators on the Pluriharmonic Bergman Space

Journal of Function Spaces and Applications, 2013
We study some algebraic properties of Toeplitz operators with radial or quasihomogeneous symbols on the pluriharmonic Bergman space. We first give the necessary and sufficient conditions for the product of two Toeplitz operators with radial symbols to be
Jingyu Yang, Liu Liu, Yufeng Lu
doaj   +1 more source

Absolutely minimum attaining Toeplitz and absolutely norm attaining Hankel operators

Comptes 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

Positive Toeplitz operators between the pluriharmonic Bergman spaces [PDF]

, 2008
summary:We study Toeplitz operators between the pluriharmonic Bergman spaces for positive symbols on the ball. We give characterizations of bounded and compact Toeplitz operators taking a pluriharmonic Bergman space $b^p$ into another $b^q$ for $1 < p,
Eun Sun Choi, Choi, Eun Sun
core   +1 more source