Results 31 to 40 of about 18,154 (228)

The Restriction Principle and Commuting Families of Toeplitz Operators on the Unit Ball [PDF]

, 2018
On the unit ball B^n we consider the weighted Bergman spaces H_\lambda and their Toeplitz operators with bounded symbols. It is known from our previous work that if a closed subgroup H of \widetilde{\SU(n,1)} has a multiplicity-free restriction for the ...
Dawson, M., Olafsson, G., Quiroga-Barranco, R.   +2 more
core   +3 more sources

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

Schatten classes of integration operators on Dirichlet spaces [PDF]

, 2013
We address the question of describing the membership to Schatten-Von Neumann ideals $\mathcal{S}_ p$ of integration operators $(T_ g f)(z)=\int_{0}^{z}f(\zeta)\,g'(\zeta)\,d\zeta$ acting on Dirichlet type spaces.
Pau, Jordi, Peláez, José Ángel
core   +1 more source

Toeplitz operators on Bergman spaces of polyanalytic functions

, 2010
We study algebraic properties of Toeplitz operators on Bergman spaces of polyanalytic functions on the unit disk. We obtain results on finite-rank commutators and semi-commutators of Toeplitz operators with harmonic symbols.
Cuckovic, Zeljko, Le, Trieu
core   +1 more source

Spatial isomorphisms of algebras of truncated Toeplitz operators [PDF]

, 2010
We examine when two maximal abelian algebras in the truncated Toeplitz operators are spatially isomorphic. This builds upon recent work of N. Sedlock, who obtained a complete description of the maximal algebras of truncated Toeplitz operators.Comment: 24
Garcia, Stephan Ramon, Ross, William T., Wogen, Warren R.   +2 more
core   +5 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

Commuting Toeplitz Operators on Bounded Symmetric Domains and Multiplicity-Free Restrictions of Holomorphic Discrete Series

, 2014
For any given bounded symmetric domain, we prove the existence of commutative $C^*$-algebras generated by Toeplitz operators acting on any weighted Bergman space.
Dawson, Matthew, Quiroga-Barranco, Raúl, Ólafsson, Gestur   +2 more
core   +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