Essential supremum norm differentiability [PDF]
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]
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]
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]
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]
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]
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]
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
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]
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]
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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