Results 21 to 30 of about 498,404 (212)
Commuting Toeplitz and Hankel Operators on Harmonic Dirichlet Spaces
Journal of Function Spaces, 2017 On the harmonic Dirichlet space of the unit disk, the commutativity of Toeplitz and Hankel operators is studied. We obtain characterizations of commuting Toeplitz and Hankel operators and essentially commuting (semicommuting) Toeplitz and Hankel ...
Qian Ding, Yong Chen, Yufeng Lu
doaj +1 more source
Toeplitz versus Hankel: semibounded operators [PDF]
Opuscula Mathematica, 2018 Our goal is to compare various results for Toeplitz \(T\) and Hankel \(H\) operators. We consider semibounded operators and find necessary and sufficient conditions for their quadratic forms to be closable. This property allows one to define \(T\) and \(
Dmitri R. Yafaev
doaj +1 more source
Toeplitz Operators on the Dirichlet Space of 𝔹n
Abstract and Applied Analysis, 2012 We study the algebraic properties of Toeplitz operators on the Dirichlet space of the unit ball 𝔹n. We characterize pluriharmonic symbol for which the corresponding Toeplitz operator is normal or isometric.
HongZhao Lin, YuFeng Lu
doaj +1 more source
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
Commuting Toeplitz operators on the pluriharmonic Bergman space [PDF]
, 2004 summary:We prove that two Toeplitz operators acting on the pluriharmonic Bergman space with radial symbol and pluriharmonic symbol respectively commute only in an obvious ...
Lee, Young Joo
core +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
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 +2 more
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
Separately radial and radial Toeplitz operators on the projective space and representation theory [PDF]
, 2017 summary:We consider separately radial (with corresponding group ${\mathbb {T}}^n$) and radial (with corresponding group ${\rm U}(n))$ symbols on the projective space ${\mathbb {P}^n({\mathbb {C}})}$, as well as the associated Toeplitz operators on the ...
Quiroga-Barranco, Raul +3 more
core +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