A rough multiple Marcinkiewicz integral along continuous surfaces

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概要

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• By means of the method of block decompositions for kernel functions and some delicate estimates on Fourier transforms, the $L^p(\boldsymbol{R}^m \times \boldsymbol{R}^n \times \boldsymbol{R})$-boundedness of the multiple Marcinkiewicz integral is established along a continuous surface with rough kernel for some $p>1$. The condition on the integral kernel is the best possible for the $L^2$-boundedness of the multiple Marcinkiewicz integral operator.

• 東北大学の論文

著者

• Wu Huoxiong

  School Of Mathematical Sciences Xiamen University

関連論文

• A class of multilinear oscillatory singular integrals related to block spaces
• A rough multiple Marcinkiewicz integral along continuous surfaces

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