Boundedness of Multilinear Oscillatory Singular Integral on Weighted Weak Hardy Spaces |
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Authors: | Yali Pan & Changwen Li |
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Institution: | School of Mathematical Science, Huaibei Normal University, Huaibei 235000, China |
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Abstract: | In this paper, by using the atomic decomposition of the weighted weak Hardy space $WH_\omega^1(\mathbb{R}^n)$, the authors discuss a class of multilinear oscillatory singular integrals and obtain their boundedness from the weighted weak Hardy space $WH_\omega^1(\mathbb{R}^n)$ to the weighted weak Lebesgue space $WL_\omega^1(\mathbb{R}^n)$ for $\omega\in A_1(\mathbb{R}^n)$. |
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Keywords: | Multilinear oscillatory singular integral A1(Rn) weighted weak Hardy space |
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