Results 1 to 10 of about 544 (115)
More on the extension of linear operators on Riesz spaces
Karpatsʹkì Matematičnì Publìkacìï, 2022 The classical Kantorovich theorem asserts the existence and uniqueness of a linear extension of a positive additive mapping, defined on the positive cone $E^+$ of a Riesz space $E$ taking values in an Archimedean Riesz space $F$, to the entire space $E$.
O.G. Fotiy, A.I. Gumenchuk, M.M. Popov
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Karpatsʹkì Matematičnì Publìkacìï, 2021 We study measurable elements of a Riesz space $E$, i.e. elements $e \in E \setminus \{0\}$ for which the Boolean algebra $\mathfrak{F}_e$ of fragments of $e$ is measurable. In particular, we prove that the set $E_{\rm meas}$ of all measurable elements of
I. Krasikova, M. Pliev, M. Popov
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Higher-Order Riesz Transforms in the Inverse Gaussian Setting and UMD Banach Spaces
Journal of Function Spaces, 2021 In this paper, we study higher-order Riesz transforms associated with the inverse Gaussian measure given by πn/2ex2dx on ℝn. We establish Lpℝn,ex2dx-boundedness properties and obtain representations as principal values singular integrals for the higher ...
Jorge J. Betancor +1 more
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Bessel-Riesz Operators on Lebesgue Spaces and Morrey Spaces Defined in Measure Metric Spaces
International Journal of Differential Equations, 2023 The boundedness of Bessel–Riesz operators defined on Lebesgue spaces and Morrey spaces in measure metric spaces is discussed in this research study. The maximal operator and traditional dyadic decomposition are used to study the Bessel-Riesz operators ...
Saba Mehmood +3 more
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On Fractional Differential Equations with Riesz-Caputo Derivative and Non-Instantaneous Impulses [PDF]
Sahand Communications in Mathematical Analysis, 2023 This article deals with the existence, uniqueness and Ulam type stability results for a class of boundary value problems for fractional differential equations with Riesz-Caputo fractional derivative.
Wafaa Rahou +3 more
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On a Generalized Wave Equation with Fractional Dissipation in Non-Local Elasticity
Mathematics, 2023 We analyze wave equation for spatially one-dimensional continuum with constitutive equation of non-local type. The deformation is described by a specially selected strain measure with general fractional derivative of the Riesz type.
Teodor M. Atanackovic +3 more
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A Note about Young’s Inequality with Different Measures
International Journal of Mathematics and Mathematical Sciences, 2022 The key purpose of this paper is to work on the boundedness of generalized Bessel–Riesz operators defined with doubling measures in Lebesgue spaces with different measures.
Saba Mehmood +2 more
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On the sufficiency of K-positivity for truncated compactly supported generalized moment problems
Examples and Counterexamples, 2021 Given a compact set K and a finite set of continuous basis functions, the truncated generalized K-moment problem asks for a characterization of all sequences that can be obtained as moments, with respect to the basis functions, of some nonnegative ...
Axel Ringh
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Investigation of Egyptian Banks’ Competition through a Riesz–Caputo Fractional Model
Fractal and Fractional, 2023 In this paper, a four-dimensional competition model, driven by the Riesz–Caputo operator, is established. Then, the presented model’s uniqueness, existence, and stability are discussed.
Othman A. M. Omar +2 more
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Multilinear Riesz Potential on Morrey-Herz Spaces with Non-Doubling Measures
Journal of Inequalities and Applications, 2010 The authors consider the multilinear Riesz potential operator defined by ℐα,m(f⃗)(x)=∫(ℝd)m(f1(y1)f2(y2)⋯fm(ym)/|(x-y1,…,x-ym)|mn-α)dμ(y1)⋯dμ(ym), where f⃗ ...
Yanlong Shi, Xiangxing Tao, Taotao Zheng
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