Boundedness of the multilinear fractional integral operators on the Hardy spaces. (Chinese. English summary) Zbl 1449.42014
Summary: In this paper we considered the boundedness of the multilinear fractional integral operators on a Hardy space. By virtue of the atomic decomposition of a Hardy space and the Hölder inequality, the boundedness of bilinear fractional integral operators and triple multilinear fractional integral operators on a Hardy space was obtained. The results extended some known conclusions.
MSC:
42B20 | Singular and oscillatory integrals (Calderón-Zygmund, etc.) |
42B30 | \(H^p\)-spaces |
47G10 | Integral operators |