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Partially Isometric Toeplitz Operators [PDF]
Proceedings of the American Mathematical Society, 1965 It has been observed that the only Toeplitz operators that are isometric are those of the form To where q is an inner function on the unit disc (see e.g., [1, Theorem 8, Corollary 3]; the notation and terminology introduced there will be adhered to throughout this note).
Brown, Arlen, Douglas, R. G.
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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
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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
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Localized Frames and Compactness [PDF]
, 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
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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
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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
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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
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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
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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
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Toeplitz Operators with Quasihomogeneous Symbols on the Bergman Space of the Unit Ball
Journal of Function Spaces and Applications, 2012 We consider when the product of two Toeplitz operators with some quasihomogeneous symbols on the Bergman space of the unit ball equals a Toeplitz operator with quasihomogeneous symbols.
Bo Zhang, Yufeng Lu
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