BOUNDEDNESS OF MULTILINEAR OPERATORS WITH ROUGH KERNEL ON HERZ SPACES

摘要

In this paper, the boundedness of the multilinear operators with rough kernel on the Herz-type spaces is discussed. It is proved that M_(A,Ω), T_(A,Ω) are bounded on K_q~(α,p)(R~n) while M_(A,)~, T_(A,Ω)~L are bounded from K_(q_1)~(α,p_1)(R~n) to K_(q_2)~(α, p_2)(R~n), respectively.