| A Weighted Weak Type Endpoint Estimate for the Multilinear Calder\'on-Zygmund Operators and Its Applications |
| Received:November 23, 2007 Revised:May 21, 2008 |
| Key Words:
multilinear Calder\'on-Zygmund operator maximal operator weighted norm inequality interpolation.
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant No.10671210). |
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| Abstract: |
| A weighted weak type endpoint estimate is established for the $m$-linear operator with Calder\'on-Zygmund kernel, which was introduced by Coifman and Meyer. As applications, the mapping properties on weighted $L^{p_1}(\rn)\times\cdots\times L^{p_m}(\rn)$ with weight $M_Bw$ for certain maximal operator $M_B$ and general weight $w$, and a two-weight weighted norm estimate for this operator, are obtained. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2010.02.017 |
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