Vector-valued Herz spaces and Herz-type Hardy spaces (Q1881618)

The article provides the standart set of results (duality, Calderón-Zygmund and Riesz operators, atomic decomposition, maximal function) for vector-valued Herz and Herz-type Hardy spaces. This is a generalization of the scalar case. The authors follow the standard proofs, giving the reference to the vector-valued lemmas, where appropriate, which implies the suitable restrictions on the Banach spaces of the values.