, Volume 21, Issue 1, pp 209-214

Weak-type Endpoint Estimates for Multilinear Singular Integral Operators

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Abstract

In this paper, the authors discuss a class of multilinear singular integrals and obtain that the operators are bounded from H 1 (ℝ n ) to weak L 1 (ℝ n ). Using this result, we can directly prove a main theorem in [5].

The research is supported by Professor Xu Yuesheng’s research grant in the program of “One hundred Distinguished Young Scientists” of the Chinese Academy of Sciences.