摘要
For b Е Lip（Rn）, the CalderSn commutator with variable kernel is defined by[b,T1]f（x）=p.v∫RnΩ（x,x-y）/｜x-y｜^n＋1（b（x））-b（y））f（y）dy In this paper, we establish the L2（Rn） boundedness for [b, T1] with Ω（x, z＇） ∈L∞（Rn）×Lq（Sn-1）（q〉2（n-1）/n）satisfying certain cancellation conditions.Moreover, the exponent q 〉2（n - 1）/n is optimal. Our main result improves a previous result of Calderon.
For b Е Lip（Rn）, the CalderSn commutator with variable kernel is defined by[b,T1]f（x）=p.v∫RnΩ（x,x-y）/｜x-y｜^n＋1（b（x））-b（y））f（y）dy In this paper, we establish the L2（Rn） boundedness for [b, T1] with Ω（x, z＇） ∈L∞（Rn）×Lq（Sn-1）（q〉2（n-1）/n）satisfying certain cancellation conditions.Moreover, the exponent q 〉2（n - 1）/n is optimal. Our main result improves a previous result of Calderon.
