Geodesic
On Limiting Case of the Stein-Weiss Type Inequality for the B-Riesz Potentials
Fractional calculus and applied analysis, Tome 12 (2009) no. 1, pp. 39-46

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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.
Keywords: Laplace-Bessel Differential Operator, Generalized Shift Operator, B-Riesz Potential, Weighted B-Bmo Spaces, Stein-Weiss Type Inequality, Weighted Lebesgue Space, 42B20, 42B25, 42B35 
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Guliyev, Emin. On Limiting Case of the Stein-Weiss Type Inequality for the B-Riesz Potentials. Fractional calculus and applied analysis, Tome 12 (2009) no. 1, pp. 39-46. http://geodesic.mathdoc.fr/item/FCAA_2009_12_1_a2/