Results 11 to 20 of about 18,154 (228)

Fredholm Toeplitz Operators [PDF]

open access: yesProceedings 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

Schatten class operators on exponential weighted Bergman spaces

open access: yesJournal of Inequalities and Applications, 2023
In this paper, we study Toeplitz and Hankel operators on exponential weighted Bergman spaces.
Xiaofeng Wang, Jin Xia, Youqi Liu
doaj   +1 more source

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

open access: yesAIMS 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

Unitary equivalence to a truncated Toeplitz operator: analytic symbols [PDF]

open access: yes, 2011
Unlike Toeplitz operators on $H^2$, truncated Toeplitz operators do not have a natural matricial characterization. Consequently, these operators are difficult to study numerically.
Garcia, Stephan Ramon   +2 more
core   +4 more sources

Invertibility and Fredholm Property of Fock Toeplitz Operators

open access: yesMathematics, 2023
We characterize some necessary and sufficient conditions of invertible Toeplitz operators acting on the Fock space. In particular, we study the Fredholm properties of Toeplitz operators with BMO1 symbols, where their Berezin transforms are bounded ...
Chunxu Xu, Tao Yu
doaj   +1 more source

Localized Frames and Compactness [PDF]

open access: yes, 2015
We introduce the concept of weak-localization for generalized frames and use this concept to define a class of weakly localized operators. This class contains many important operators, including: Short Time Fourier Transform multipliers, Calderon ...
Batayneh, Fawwaz, Mitkovski, Mishko
core   +1 more source

Commuting H-Toeplitz operators with quasihomogeneous symbols

open access: yesAIMS Mathematics, 2022
In this paper, we characterize the commutativity of H-Toeplitz operators with quasihomogeneous symbols on the Bergman space, which is different from the case of Toeplitz operators with same symbols on the Bergman space.
Jinjin Liang   +3 more
doaj   +1 more source

Algebraic Properties of Toeplitz Operators on the Polydisk

open access: yesAbstract 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

Algebraic Properties of Toeplitz Operators on the Pluriharmonic Bergman Space

open access: yesJournal 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

Contractivity and expansivity of H-Toeplitz operators on the Bergman spaces

open access: yesAIMS Mathematics, 2022
In this paper we consider the properties of H-Toeplitz operators $ B_{\varphi} $ on the Bergman space $ L^2_a(\Bbb D) $. We present some necessary and sufficient conditions for the contractive and expansive H-Toeplitz operators $ B_\varphi $ with various
Sumin Kim, Jongrak Lee
doaj   +1 more source

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