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Vector valued Calderón-Zygmund operators on Hardy spaces associated with Herz spaces. (English) Zbl 1054.42505
Summary: In this paper, it is proved that the Calderón-Zygmund operators with vector valued kernels are bounded from Hardy spaces \(HK_p\) associated with Herz spaces to vector valued Herz spaces \(K_{E,p}\). Applications to Calderón-Zygmund operators with rough kernels, Calderón-Zygmund maximal operators, approximate identies and maximal operators are given.
MSC:
42B20 Singular and oscillatory integrals (Calderón-Zygmund, etc.)
42B25 Maximal functions, Littlewood-Paley theory
42B30 \(H^p\)-spaces
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