Results 1 to 10 of about 42 (42)
Analysis and Geometry in Metric Spaces, 2023 The main purpose of this article is to establish some new characterizations of the (variable) Lipschitz spaces in terms of the boundedness of commutator of multilinear fractional Calderón-Zygmund integral operators in the context of the variable exponent
Zhang Pu, Wu Jianglong
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Characterizations of *-antiderivable mappings on operator algebras
Open Mathematics, 2022 Let A{\mathcal{A}} be a ∗\ast -algebra, ℳ{\mathcal{ {\mathcal M} }} be a ∗\ast -A{\mathcal{A}}-bimodule, and δ\delta be a linear mapping from A{\mathcal{A}} into ℳ{\mathcal{ {\mathcal M} }}.
An Guangyu, Zhang Xueli, He Jun
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A system of additive functional equations in complex Banach algebras
Demonstratio Mathematica, 2023 In this article, we solve the system of additive functional equations: 2f(x+y)−g(x)=g(y),g(x+y)−2f(y−x)=4f(x)\left\{\phantom{\rule[-1.25em]{}{0ex}}\begin{array}{l}2f\left(x+y)-g\left(x)=g(y),\\ g\left(x+y)-2f(y-x)=4f\left(x)\end{array}\right.
Paokanta Siriluk +3 more
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Demonstratio Mathematica, 2021 A new class of operators, larger than ∗\ast -finite operators, named generalized ∗\ast -finite operators and noted by Gℱ∗(ℋ){{\mathcal{G {\mathcal F} }}}^{\ast }\left({\mathcal{ {\mathcal H} }}) is introduced, where: Gℱ∗(ℋ)={(A,B)∈ℬ(ℋ)×ℬ(ℋ):∥TA−BT∗−λI ...
Messaoudene Hadia, Mesbah Nadia
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Range-Kernel orthogonality and elementary operators on certain Banach spaces
Demonstratio Mathematica, 2021 The characterization of the points in Cp:1 ...
Bachir Ahmed +3 more
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Range-kernel weak orthogonality of some elementary operators
Open Mathematics, 2021 We study the range-kernel weak orthogonality of certain elementary operators induced by non-normal operators, with respect to usual operator norm and the Von Newmann-Schatten pp-norm (1 ...
Bachir Ahmed +2 more
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Jordan centralizer maps on trivial extension algebras
Demonstratio Mathematica, 2020 The structure of Jordan centralizer maps is investigated on trivial extension algebras. One may obtain some conditions under which a Jordan centralizer map on a trivial extension algebra is a centralizer map. As an application, we characterize the Jordan
Bahmani Mohammad Ali +2 more
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Analysis and Geometry in Metric Spaces, 2023 Let (X,d,μ)\left({\mathcal{X}},d,\mu ) be a non-homogeneous metric measure space satisfying the geometrically doubling and upper doubling conditions. In this setting, we first introduce a generalized Morrey space Mpu(μ){M}_{p}^{u}\left(\mu ), where 1 ...
Lu Guanghui +2 more
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A note on commutators of strongly singular Calderón-Zygmund operators
Open Mathematics, 2022 In this article, the authors consider the commutators of strongly singular Calderón-Zygmund operator with Lipschitz functions. A sufficient condition is given for the boundedness of the commutators from Lebesgue spaces Lp(Rn){L}^{p}\left({{\mathbb{R ...
Zhang Pu, Zhu Xiaomeng
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Some results on generalized finite operators and range kernel orthogonality in Hilbert spaces
Demonstratio Mathematica, 2021 Let ℋ{\mathcal{ {\mathcal H} }} be a complex Hilbert space and ℬ(ℋ){\mathcal{ {\mathcal B} }}\left({\mathcal{ {\mathcal H} }}) denotes the algebra of all bounded linear operators acting on ℋ{\mathcal{ {\mathcal H} }}.
Mesbah Nadia +2 more
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