Essential norm of generalized Hilbert matrix from Bloch type spaces to BMOA and Bloch space
AIMS Mathematics, 2021 Let $ \mu $ be a positive Borel measure on the interval $ [0, 1) $. The Hankel matrix $ {\mathcal H}_\mu = (\mu_{n+k})_{n, k\geq 0} $ with entries $ \mu_{n, k} = \mu_{n+k} $ induces the operatoron the space of all analytic functions $ f(z) = \sum^\infty_{
Songxiao Li , Jizhen Zhou
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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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On the compactness and the essential norm of operators defined by infinite tridiagonal matrices
Concrete Operators, 2023 In this article, all sequences u{\boldsymbol{u}}, v{\boldsymbol{v}}, and w{\boldsymbol{w}} that define continuous and compact tridiagonal operators Tu,v,w{T}_{u,v,w} acting on the weighted sequence space lβ2{l}_{\beta }^{2} were characterized ...
Caicedo Alexander +2 more
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A class of operator related weighted composition operators between Zygmund space [PDF]
AUT Journal of Mathematics and Computing, 2021 Let $\mathbb {D}$ be the open unit disk in the complex plane $\mathbb{C}$ and $H(\mathbb{D})$ be the set of all analytic functions on $\mathbb{D}$. Let $u, v\in H(\mathbb{D})$ and $\varphi$ be an analytic self-map of $\mathbb{D}$.
Ebrahim Abbasi
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Generalized Stević-Sharma operators from the minimal Möbius invariant space into Bloch-type spaces
Demonstratio Mathematica, 2023 The aim of this study is to investigate the boundedness, essential norm, and compactness of generalized Stević-Sharma operator from the minimal Möbius invariant space into Bloch-type space.
Guo Zhitao
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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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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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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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The essential spectrum, norm, and spectral radius of abstract multiplication operators
Concrete Operators, 2023 Let EE be a complex Banach lattice and TT is an operator in the center Z(E)={T:∣T∣≤λIfor someλ}Z\left(E)=\left\{T:| T| \le \lambda I\hspace{0.33em}\hspace{0.1em}\text{for some}\hspace{0.1em}\hspace{0.33em}\lambda \right\} of EE. Then, the essential norm ‖
Schep Anton R.
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Essential normality, essential norms and hyperrigidity
Journal of Functional Analysis, 2015 28 ...
Matthew Kennedy, Orr Moshe Shalit
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