For a non-negative,locally integrable functionΦ on R~n,the potential typeoperators associated toΦis defined byWe assume that the kernelΦsatisfies the following weak growth condition:thereexist constantsδ,c,0≤ε<1 with the property that for all k∈Z,and (?)(t)ï¼t~n→0,as t→∞.whereThe main results are the following:(i)Letδ>0,for any weightω,we have(ii)Given 1 1 and any cube Q,then the potential type operators T_Φsatisfies the following two-weight weak type(p,q)inequality,...
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