| MAXIMAL CALDERóN-ZYGMUND SINGULAR INTEGRAL ON RBMO |
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| 作者姓名： | Chen Jiecheng Zhu Xiangrong Dept.of Math. Zhejiang Univ. Hangzhou China |
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| 作者单位： | Chen Jiecheng Zhu Xiangrong Dept.of Math.，Zhejiang Univ.，Hangzhou 310028，China |
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| 基金项目： | Supportedby973-project(G1999075105),NSFC(G10271107),RFDP(20030335019),ZJNSF(RC97017) |
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| 摘 要： | §1Introduction Letk(x,y)beafunctiononRd×Rd\{(x,y)∶x=y}whichsatisfiesthesize condition:|k(x,y)|≤C1|x-y|n,(2)andLipschitzcondition:thereexistsarealnumberγ>0,if|x-y|>2|y′-y|,|k(x,y)-k(x,y′)|+|k(y,x)-k(y′,x)|≤C2|y′-y|γ|x-y|n+γ.(3)Givenalocallyintegrablefunctionf,let Tε,Nf(x)=∫ε<|x-y|ε>0|Tε,Nf(x)|.HereT*f(x)maybeinfinite.Itisobviousthatlimε→0,N→∞T*ε,Nf(x)=T*f(x).Wesay k(x,y)aCalder n-Zygmundkerneli…
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