Geodesic
Boundedness of Riesz potential generated by generalized shift operator on $Ba$ spaces
Czechoslovak Mathematical Journal, Tome 54 (2004) no. 3, pp. 579-589
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In this paper, the boundedness of the Riesz potential generated by generalized shift operator $I^{\alpha }_{B_{k}}$ from the spaces ${a = (L_{p_{m}, \nu } (\mathbb{R}_n^k), a_m)}$ to the spaces ${a^{\prime }= (L_{q_{m}, \nu } (\mathbb{R}_n^k), a^{\prime }_m)}$ is examined.
In this paper, the boundedness of the Riesz potential generated by generalized shift operator $I^{\alpha }_{B_{k}}$ from the spaces ${a = (L_{p_{m}, \nu } (\mathbb{R}_n^k), a_m)}$ to the spaces ${a^{\prime }= (L_{q_{m}, \nu } (\mathbb{R}_n^k), a^{\prime }_m)}$ is examined.
Classification : 45E10, 47B37, 47G10
Keywords: generalized shift operator; Riesz-Bessel transformations 
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Ṣerbetci, Ayhan; Ekincioğlu, Ismail. Boundedness of Riesz potential generated by generalized shift operator on $Ba$ spaces. Czechoslovak Mathematical Journal, Tome 54 (2004) no. 3, pp. 579-589. http://geodesic.mathdoc.fr/item/CMJ_2004_54_3_a3/

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