Volterra integral operator and essential norm on Dirichlet type spaces
AIMS Mathematics, 2021 In this paper, we study the boundedness and essential norm of Volterra integral operator $ V_g $ and integral operator $ S_g $ on Dirichlet type spaces $ {\mathcal{D}_{K, \alpha}} $.
Liu Yang, Ruishen Qian
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Essential Norms of Volterra Type Operators between Zygmund Type Spaces [PDF]
Journal of Function Spaces, 2017 We investigate the boundedness of some Volterra type operators between Zygmund type spaces. Then, we give the essential norms of such operators in terms of g,φ, their derivatives, and the nth power φn of φ.
Shanli Ye, Caishu Lin
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Essential norm resolvent estimates and essential numerical range
Journal of Spectral TheoryThe main result of this paper are novel two-sided estimates of the essential resolvent norm for closed linear operators T . We prove that the growth of \|(T-\lambda)^{-1}\|_{\textup{e}}
Nicolas Hefti, Christiane Tretter
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Open MathematicsIn this article, we provide a comprehensive study on the continuity and essential norm of an operator defined by an infinite tridiagonal matrix, specifically when it operates from a weighted Orlicz sequence space or a weighted l∞{l}^{\infty } space into ...
Ramos-Fernández Julio C. +2 more
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Product-type Operators Between Minimal M\"{o}bius Invariant Spaces and Zygmund Type Spaces [PDF]
Sahand Communications in Mathematical Analysis, 2023 In this work, we consider product-type operators $T^m_{u,v,\varphi}$ from minimal M\"{o}bius invariant spaces into Zygmund-type spaces. Firstly, some characterizations for the boundedness of these operators are given.
Mostafa Hassanlou +3 more
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Volterra integral operators on a family of Dirichlet-Morrey spaces [PDF]
Opuscula Mathematica, 2023 A family of Dirichlet-Morrey spaces \(\mathcal{D}_{\lambda,K}\) of functions analytic in the open unit disk \(\mathbb{D}\) are defined in this paper. We completely characterize the boundedness of the Volterra integral operators \(T_g\), \(I_g\) and the ...
Lian Hu, Xiaosong Liu
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Estimates of Norm and Essential norm of Differences of Differentiation Composition Operators on Weighted Bloch Spaces [PDF]
Sahand Communications in Mathematical Analysis, 2020 Norm and essential norm of differences of differentiation composition operators between Bloch spaces have been estimated in this paper. As a result, we find characterizations for boundedness and compactness of these operators.
Mostafa Hassanloo
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Composition operators from harmonic $ \mathcal{H}^{\infty} $ space into harmonic Zygmund space
AIMS Mathematics, 2023 This research paper sought to characterize the boundedness and compactness of composition operators from the space $ \mathcal{H}^{\infty} $ of bounded harmonic mappings into harmonic Zygmund space $ \mathcal{Z}_H $, on the open unit disk. Furthermore, we
Munirah Aljuaid, Mahmoud Ali Bakhit
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Generalized Stević-Sharma type operators from derivative Hardy spaces into Zygmund-type spaces
AIMS Mathematics, 2023 Let $ u, v $ be two analytic functions on the open unit disk $ {\mathbb D} $ in the complex plane, $ \varphi $ an analytic self-map of $ {\mathbb D} $, and $ m, n $ nonnegative integers such that $ m < n $.
Zhitao Guo , Jianyong Mu
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Sum of some product-type operators from mixed-norm spaces to weighted-type spaces on the unit ball
AIMS Mathematics, 2022 Let $ u_{j} $ be the holomorphic functions on the open unit ball $ \mathbb{B} $ in $ \mathbb{C}^{n} $, $ j = \overline{0, m} $, $ \varphi $ a holomorphic self-map of $ \mathbb{B} $, and $ \Re^{j} $ the $ j $th iterated radial derivative operator. In this
Cheng-shi Huang +2 more
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