Boundedness of generalized Riesz potentials on the variable Hardy spaces

preprint2016arXivOpen access

We study the boundedness from Hp(.) into Lq(.) of certain generalized Riesz potentials and the Hp(.)-Hq(.) boundedness of the Riesz potential. Both results are achieved via the finite atomic decomposition developed in [4].

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Boundedness of generalized Riesz potentials on the variable Hardy spaces

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