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首页> 外文期刊>Mathematical Methods in the Applied Sciences >Singular integral operator, Hardy-Morrey space estimates for multilinear operators and Navier-Stokes equations
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Singular integral operator, Hardy-Morrey space estimates for multilinear operators and Navier-Stokes equations

机译:奇异积分算子,用于多线性算子和Navier-Stokes方程的Hardy-Morrey空间估计

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摘要

After establishing the molecule characterization of the Hardy-Morrey space, we prove the boundedness of the singular integral operator and the Riesz potential. We also obtain the Hardy-Morrey space estimates for multilinear operators satisfying certain vanishing moments. As an application, we study the existence and the uniqueness of the solutions to the Navier-Stokes equations for the initial data in the Hardy-Morrey space H M~p_q(p≥n) for q as small as possible. Here, the Hardy-Morrey space estimates for multilinear operators are important tools.
机译:建立Hardy-Morrey空间的分子表征后,我们证明了奇异积分算子和Riesz势的有界性。我们还获得了满足某些消失矩的多线性算子的Hardy-Morrey空间估计。作为应用,我们研究了对于q的Hardy-Morrey空间H M〜p_q(p≥n)中初始数据的Navier-Stokes方程解的存在性和唯一性。在这里,多线性算子的Hardy-Morrey空间估计是重要的工具。

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