一类特殊粗糙核算子的有界性
Lar(Rn) Boundedness of a Special Rough Singular Operator

主要研究一类特殊粗糙核奇异积分算子TΩα.bf(x)=p.V ∫Rn b(｜y｜)Ω(y') ｜y｜-n-αf(x-y)dy,当b∈△γ(γ≥2),α≥0,且Ω(y')∈L1(Sn1)时的Lap(Rn)有界性,该积分条件较前人提出的条件弱,从而推广了前人的结论.
It is to study the boundedness of a class of special rough singular operators under the conditions of b∈Δγ(γ≥2)and Ω(y')∈L(S),which improves predecessors' conclusion.The operators is as follows: TΩ,α,bf(x)=P.V∫Rb(|y|)Ω(y')|y|f(x-y)dy