the author establishes the strong and weak type norm inequalities for Hardy-Litlewood maximal valued operator on Herz-Morreyspaces
from which the author obtains the vector-valued inequalities for a wide class of sublinear singular operators defined on Rn which include the Calderón-Zygmund operators as special cases.
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references
AndersenK F,JohnR T.Weighted inequalities forvector-valued maximal functions and singularintegrals[J].Studia.Math,1980,69:19-31.