An generalization of the Riesz potential
Tomica Divnić, Zlata Đurić (2000)
Kragujevac Journal of Mathematics
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Tomica Divnić, Zlata Đurić (2000)
Kragujevac Journal of Mathematics
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Hiroaki Aikawa (1991)
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Keiko Narita, Kazuhisa Nakasho, Yasunari Shidama (2017)
Formalized Mathematics
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In this article, we formalize in the Mizar system [1, 4] the F. Riesz theorem. In the first section, we defined Mizar functor ClstoCmp, compact topological spaces as closed interval subset of real numbers. Then using the former definition and referring to the article [10] and the article [5], we defined the normed spaces of continuous functions on closed interval subset of real numbers, and defined the normed spaces of bounded functions on closed interval subset of real numbers. We also...
Louis Pigno, Sadahiro Saeki (1990)
Colloquium Mathematicae
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N.H., Goldie, C.M. Bingham (1988)
Mathematische Zeitschrift
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Mémoires de la Société Mathématique de France
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Giuseppe Mingione (2011)
Journal of the European Mathematical Society
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Pointwise gradient bounds via Riesz potentials like those available for the Poisson equation actually hold for general quasilinear equations.
Guliyev, Emin (2009)
Fractional Calculus and Applied Analysis
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Mathematics Subject Classification: Primary 42B20, 42B25, 42B35 In this paper we study the Riesz potentials (B-Riesz potentials) generated by the Laplace-Bessel differential operator ∆B [...]. We establish an inequality of Stein-Weiss type for the B-Riesz potentials in the limiting case, and obtain the boundedness of the B-Riesz potential operator from the space Lp,|x|β,γ to BMO|x|−λ,γ. * Emin Guliyev’s research partially supported by the grant of INTAS YS Collaborative...