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arxiv: 1608.00149 · v1 · pith:DKYZ6PCMnew · submitted 2016-07-30 · 🧮 math.CA

Boundedness of generalized Riesz potentials on the variable Hardy spaces

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keywords boundednessrieszgeneralizedpotentialsachievedatomiccertaindecomposition
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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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