Essential supremum norm differentiability [PDF]
International Journal of Mathematics and Mathematical Sciences, 1985 The points of Gateaux and Fréchet differentiability in L∞(μ,X) are obtained, where (Ω,∑,μ) is a finite measure space and X is a real Banach space. An application of these results is given to the space B(L1(μ,ℝ),X) of all bounded linear operators from L1 ...
I. E. Leonard, K. F. Taylor
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Essential norm of some extensions of the generalized composition operators between kth weighted-type spaces [PDF]
Journal of Inequalities and Applications, 2017 We calculate the essential norm of some extensions of the generalized composition operators between kth weighted-type spaces on the unit disk in the complex plane, considerably extending some results in the literature.
Stevo Stević
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Inequalities Involving Essential Norm Estimates of Product-Type Operators [PDF]
Journal of Mathematics, 2021 Consider an open unit disk D=z∈ℂ ...
Manisha Devi, Ajay K. Sharma, Kuldip Raj
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Essential Norm of the Generalized Integration Operator from Zygmund Space into Weighted Dirichlet Type Space [PDF]
Sahand Communications in Mathematical Analysis, 2022 Let $H(\mathbb{D})$ be the space of all analytic functions on the open unit disc $\mathbb{D}$ in the complex plane $\mathbb{C}$. In this paper, we investigate the boundedness and compactness of the generalized integration operator$$I_{g,\varphi}^{(n)}(f)(
Fariba Alighadr +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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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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