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Essential supremum norm differentiability [PDF]

open access: yesInternational 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
doaj   +3 more sources

Essential norm of some extensions of the generalized composition operators between kth weighted-type spaces [PDF]

open access: yesJournal 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
doaj   +2 more sources

Inequalities Involving Essential Norm Estimates of Product-Type Operators [PDF]

open access: yesJournal of Mathematics, 2021
Consider an open unit disk D=z∈ℂ ...
Manisha Devi, Ajay K. Sharma, Kuldip Raj
doaj   +2 more sources

On the compactness and the essential norm of operators defined by infinite tridiagonal matrices

open access: yesConcrete 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
doaj   +2 more sources

Conformity to social norm interventions is not amplified in tighter nations [PDF]

open access: yesCommunications Psychology
Social norms have a reliable and oftentimes strong influence on individual attitudes and behaviors across environmental and other domains. This influence has been theorized to differ by cultural tightness—the extent to which people adhere to shared ...
Jane Acierno   +7 more
doaj   +2 more sources

Essential Norm of the Generalized Integration Operator from Zygmund Space into Weighted Dirichlet Type Space [PDF]

open access: yesSahand 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
doaj   +1 more source

Product-type Operators Between Minimal M\"{o}bius Invariant Spaces and Zygmund Type Spaces [PDF]

open access: yesSahand 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
doaj   +1 more source

Volterra integral operators on a family of Dirichlet-Morrey spaces [PDF]

open access: yesOpuscula 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
doaj   +1 more source

Estimates of Norm and Essential norm of Differences of Differentiation Composition Operators on Weighted Bloch Spaces [PDF]

open access: yesSahand 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
doaj   +1 more source

A class of operator related weighted composition operators between Zygmund space [PDF]

open access: yesAUT 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
doaj   +1 more source

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