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A Weighted Weak Type Endpoint Estimate for the Multilinear Calderón-Zygmund Operators and Its Applications

A Weighted Weak Type Endpoint Estimate for the Multilinear Calderón-Zygmund Operators and Its Applications
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摘要 A weighted weak type endpoint estimate is established for the m-linear operator with Calderón-Zygmund kernel, which was introduced by Coifman and Meyer. As applications, the mapping properties on weighted L^p1(Rn)×···×L^pm(Rn) with weight MBw for certain maximal operator MB and general weight w, and a two-weight weighted norm estimate for this operator, are obtained. A weighted weak type endpoint estimate is established for the m-linear operator with Calderón-Zygmund kernel, which was introduced by Coifman and Meyer. As applications, the mapping properties on weighted L^p1(Rn)×···×L^pm(Rn) with weight MBw for certain maximal operator MB and general weight w, and a two-weight weighted norm estimate for this operator, are obtained.
出处 《Journal of Mathematical Research and Exposition》 CSCD 2010年第2期329-337,共9页 数学研究与评论(英文版)
基金 Supported by the National Natural Science Foundation of China (Grant No.10671210)
关键词 multilinear Calderon-Zygmund operator maximal operator weighted norm in-equality interpolation. multilinear Calderon-Zygmund operator maximal operator weighted norm in-equality interpolation.
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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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