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Boundedness of Riesz Potential Generated by Generalized Shift Operator on B<Emphasis Type="Italic">a</Emphasis> Spaces

Authors:	Ayhan Serbetci Ismail Ekincio?lu

Institution:	(1) Dept. of Mathematics, Faculty of Science, Ankara University, Tandogan, 06100 Ankara, Turkey

Abstract:	In this paper, the boundedness of the Riesz potential generated by generalized shift operator $I_{B_k }^\alpha$ from the spaces $Ba = (L_{p_m ,v} ({\mathbb{R}}_n^k ),a_m )$ to the spaces $(L_{q_m ,v} ({\mathbb{R}}_n^k ,a'_m ))$ is examined.

Keywords:	generalized shift operator Riesz-Bessel transformations
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