Boundedness of multilinear operators with rough kernel on Herz spaces

Abstract

In this paper, the boundedness of the multilinear operators with rough kernel on the Herz-type spaces is discussed. It is proved that MA,Ω,TA,Ω are bounded on Kqa,p(Rn) while MA, Ωλ, are bounded from \(K_{q_1 }^{a,p_1 } \left( {R^n } \right)\) to \(K_{q_2 }^{a,p_2 } \left( {R^n } \right)\), respectively.