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Sublinear operators in generalized weighted Morrey spaces
Doklady Mathematics, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kokilashvili, V. +2 more
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Sublinear operators on Herz–Hardy spaces with variable exponents
Mathematische Nachrichten, 2022AbstractIn this paper, we establish the mapping properties of sublinear operators on Herz–Hardy spaces with variable exponents. We obtain these mapping properties by extending the extrapolation theory to Herz–Hardy spaces with variable exponents. In particular, we study the mapping properties of the multiplier operators, the Littlewood–Paley functions ...
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Approximation by Positive Sublinear Operators
2018Here we study the approximation of functions by positive sublinear operators under differentiability. We produce general Jackson type inequalities under initial conditions. We apply these to a series of well-known Max-product operators. So our approach is quantitative by producing inequalities with their right hand sides involving the modulus of ...
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Rotundity properties in Banach spaces via sublinear operators
Nonlinear Analysis: Theory, Methods & Applications, 2006For a real linear space \(X\), let \(S:X\to L^0\) be a sublinear operator such that \(Sx\geq 0\) for each \(x\in X\) and \(Sx=0\) exactly when \(x=0\). Then, if \(E\) is a Köthe space, let \({\mathcal{D}}_E(S) = \{x\in X: Sx\in E\}\). For specific choices of \(X\), \(S\), and \(E\), \({\mathcal{D}}_E(S)\) could represent Köthe--Bochner spaces, Cesàro ...
Hudzik, Henryk, Wlaźlak, Karol
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Solvability results for sublinear functions and operators
Zeitschrift für Operations Research, 1987The author finds some asymptotic solvability results which yield a duality result for homogeneous programming and an analog of the Farkas lemma for sublinear operators. Applications to necessary optimality conditions for nonlinear programming are given.
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Commutators of sublinear operators in grand morrey spaces
Studia Scientiarum Mathematicarum Hungarica, 2019Abstract In this paper we establish the boundedness of commutators of sublinear operators in weighted grand Morrey spaces. The sublinear operators under consideration contain integral operators such as Hardy-Littlewood and fractional maximal operators, Calderón-Zygmund operators, potential operators etc.
Vakhtang Kokilashvili +2 more
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Caputo Fractional Approximation Using Positive Sublinear Operators
2018Here we consider the approximation of functions by sublinear positive operators with applications to a big variety of Max-Product operators under Caputo fractional differentiability. Our study is based on our general fractional results about positive sublinear operators. We produce Jackson type inequalities under simple initial conditions.
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Approximation by multivariate sublinear and max-product operators
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Properties of spaces of sublinear operators
Siberian Mathematical Journal, 1980Linke, Yu. Eh., Tolstonogov, A. A.
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Generalized $$\psi $$-Fractional Quantitative Approximation by Sublinear Operators
2020Here we consider the approximation of functions by sublinear positive operators with applications to several Max-Product operators under generalized fractional differentiability. Our study is based on our generalized fractional results about positive sublinear operators. We derive Jackson type inequalities under iterated initial conditions.
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