Results 241 to 250 of about 73,328 (276)
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On Certain Integral Operators of Fractional Type
Acta Mathematica Hungarica, 1999The authors study integral operators with special fractional kernel. The boundedness of fractional integral operators is proved. To the proof the generalized Minkowski inequality and the Marcinkiewicz interpolation theorem are used.
Godoy, T., Urciuolo, M.
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On the Boundedness of Multilinear Fractional Integral Operators
The Journal of Geometric Analysis, 2019The multilinear fractional integral operator \(T_{\gamma,\mu}\) on quasi-metric measure spaces with non-doubling measure \(\mu\) is defined by \[ T_{\gamma,\mu}\vec{f}(x)=\int_{X^m}\frac{f_1(y_)\cdots f_m(y_m)}{(d(x,y_1)+\cdots+d(x,y_m))^{m-\gamma}}d\mu(\vec{y}_m)\ \ (x\in X). \] \textit{V. Kokilashvili} and \textit{A. Meskhi} [Fract. Calc. Appl. Anal.
Kokilashvili, Vakhtang +2 more
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Step-by-step integration for fractional operators
Communications in Nonlinear Science and Numerical Simulation, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Natalia Colinas-Armijo, Mario Di Paola
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Weighted Inequalities for the Fractional Maximal Operator and the Fractional Integral Operator
Zeitschrift für Analysis und ihre Anwendungen, 1996A sufficient condition is given on weight functions u and v on \mathbb R^n for ...
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On the invariant subspaces of the fractional integral operator
2021From the summary: We investigate the invariant subspaces of the fractional integral operator in the Banach space with certain conditions in this paper. Also, by using the Duhamel product method, unicellularity of the fractional integral operator on some space is obtained and the description of the invariant subspaces is given.
GÜRDAL, Mehmet +2 more
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A Bilinear Inequality for a Class of Operators of Fractional Integration
Siberian Mathematical Journal, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Oinarov, R. +2 more
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On unified fractional integral operators
Proceedings of the Indian Academy of Sciences - Section A, 1996The present work of the author relates to the generalized fractional integral operators [the authors, Proc. Indian Acad. Sci., Math. Sci. 104, No. 2, 339-349 (1994; Zbl 0801.33014)] of Riemann-Liouville and Weyl types which have in their kernel certain polynomial system of \textit{H. M. Srivastava} [Indian J. Math.
Gupta, K. C., Soni, R. C.
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Commutators with fractional integral operators
Studia Mathematica, 2016Let \(\alpha\in(0,n)\). For a Schwartz function \(f\) on \(\mathbb{R}^n\), the fractional integral of \(f\) is defined, for any \(x\in\mathbb{R}^n\), by \[ I_\alpha(f)(x):=\int_{\mathbb{R}^n}\frac{f(y)}{|x-y|^{n-\alpha}}\,dy. \] Let \(p,\,q\in(1,\infty)\) and \(p':=p/(p-1)\). Then a function \(w\) on \(\mathbb{R}^n\) is said to belong to the \(A_{p,q}(\
Holmes, Irina +2 more
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Fractional powers of operators and Riesz fractional integrals
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1989SynopsisIn this paper, a theory of fractional powers of operators due to Balakrishnan, which is valid for certain operators on Banach spaces, is extended to Fréchet spaces. The resultingtheory is shown to be more general than that developed in an earlier approach by Lamb, and is applied to obtain mapping properties of certain Riesz fractional integral ...
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Fractional integrals for the Weinstein operator
Integral Transforms and Special Functions, 2020In this paper, we study properly the fractional integrals Δw−μ/2, associated with the Weinstein operator, for all μ>0.
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