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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