Laplace-Bessel Differential Operator Generalized Shift Operator B-Riesz Potential Weighted B-Bmo Spaces Stein-Weiss Type Inequality Weighted Lebesgue Space 42B20 42B25 42B35
Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Fractional Calculus and Applied Analysis, Vol. 12, No 1, (2009), 39p-46p
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.