设10和C_r>0,使对任意的y∈r~n和r>C_r|y|,有SuM((2kr)~(n/r')(InTEgrAl(︱k(X-y)-SuM(bJ(X)φJ(y)) frOM J=1 TO ∞︱_(dX)~r) frOM n=2kr<︱X︱≤2(k+1)r))≤C_r本文在核函数满足上述变形的l~r-HrMAndEr条件的假设下,建立了相应的奇异积分算子的加权模不等式.; Let 1j(j = 1,...,m) are suitable functions.We say a kernel K satisfies a variant of the classical L~r-Hrmander's condition,if there exist constants c_r>0 and C_r>0,such that for any y∈R~n and R>c_r|y|, sum((2kR)~(n/r')(integral(︱K(x-y)-sum(Bj(x)φj(y)) from j=1 to ∞︱_(dx)~r) from n=2kR<︱x︱≤2(k+1)R))≤C_r In this paper,the authors establish the weighted norm inequalities for singular integral operators with kernel satisfying the above variant of the classical L~r-Hrmander's condition.; 国家自然科学基金资助项目(11041004); 黑龙江省自然科学基金项目(A200913)
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