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The continuity of multilinear singular integral operators with variable Calderón-Zygmund kernel on Hardy and Herz spaces. (English) Zbl 1099.42017

Summary: We prove the continuity of some multilinear operators generated by singular integral operators with variable Calderón-Zygmund kernel and Lipschitz functions on some Hardy and Herz-type spaces.

MSC:

42B20 Singular and oscillatory integrals (Calderón-Zygmund, etc.)
42B25 Maximal functions, Littlewood-Paley theory
47G10 Integral operators
42B30 \(H^p\)-spaces
42B35 Function spaces arising in harmonic analysis
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