Generalized fractional integral operators on Orlicz–Hardy spaces

Ryutaro Arai, Eiichi Nakai and Yoshihiro Sawano

Mathematische Nachrichten, 2021, vol. 294, issue 2, 224-235

Abstract: The generalized fractional integral operators are shown to be bounded from an Orlicz–Hardy space HΦ(Rn) to another Orlicz–Hardy space HΨ(Rn), where Φ and Ψ are generalized Young functions. The result extends the boundedness of the usual fractional integral operator Iα from Hp(Rn) to Hq(Rn) for α,p,q∈(0,∞) and −n/p+α=−n/q, which was proved by Stein and Weiss in 1960.

Date: 2021
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https://doi.org/10.1002/mana.201900052

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Persistent link: https://EconPapers.repec.org/RePEc:bla:mathna:v:294:y:2021:i:2:p:224-235

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