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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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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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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Essential norm of generalized weighted composition operators from the Bloch space to the Zygmund space [PDF]
Journal of Inequalities and Applications, 2016 In this paper, we give some estimates of the essential norm for generalized weighted composition operators from the Bloch space to the Zygmund space. Moreover, we give a new characterization for the boundedness and compactness of the operator.
Qinghua Hu +3 more
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The essential spectrum, norm, and spectral radius of abstract multiplication operators [PDF]
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 norm of an integral-type operator from ω-Bloch spaces to μ-Zygmund spaces on the unit ball [PDF]
Opuscula Mathematica, 2018 In this paper, we give an estimate for the essential norm of an integral-type operator from \(\omega\)-Bloch spaces to \(\mu\)-Zygmund spaces on the unit ball.
Juntao Du, Xiangling Zhu
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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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Norm and Essential Norm of Composition Followed by Differentiation from Logarithmic Bloch Spaces to Hμ∞ [PDF]
Abstract and Applied Analysis, 2014 In this note we express the norm of composition followed by differentiation DCφ from the logarithmic Bloch and the little logarithmic Bloch spaces to the weighted space Hμ∞ on the unit disk and give an upper and a lower bound for the essential norm of ...
Shanli Ye
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Essential Norm of Operators into Weighted-Type Spaces on the Unit Ball [PDF]
Abstract and Applied Analysis, 2011 The essential norm of any operator from a general Banach space of holomorphic functions on the unit ball in ℂn into the little weighted-type space is calculated. Some applications of the formula are given.
Pablo Galindo +2 more
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