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L^p(R^n) Boundedness for the Maximal Operator of Multilinear Singular Integrals with Calderón-Zygmund Kernels 被引量:1

L^p(R^n) Boundedness for the Maximal Operator of Multilinear Singular Integrals with Calderón-Zygmund Kernels
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摘要 In this paper, the authors consider a class of maximal multilinear singular integral operators and maximal multilinear oscillatory singular integral operators with standard Calderón-Zygmund kernels, and obtain their boundedness on L^p(R^n) for 1 〈 p 〈 ∞. In this paper, the authors consider a class of maximal multilinear singular integral operators and maximal multilinear oscillatory singular integral operators with standard Calderón-Zygmund kernels, and obtain their boundedness on L^p(R^n) for 1 〈 p 〈 ∞.
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2005年第3期497-506,共10页 数学学报(英文版)
基金 Research supported by Professor Xu Yuesheng's Research Grant in the program of "One hundred Distinguished Young Scientists" of the Chinese Academy of Sciences
关键词 Multilinear oscillatory singular integral Calderón-Zygmund kernel BMO Multilinear oscillatory singular integral, Calderón-Zygmund kernel, BMO
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  • 1Lu Shanzhen. Multilinear oscillatory integrals with Calderón-Zygmund kernel[J] 1999,Science in China Series A: Mathematics(10):1039~1046

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