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arXiv · 1704.06971

A Multilier Theorem on Anisotropic Hardy Spaces

Li-An Daniel Wang
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Abstract

We present a multiplier theorem on anisotropic Hardy spaces. When $m$ satisfies the anisotropic, pointwise Mihlin condition, we obtain boundedness of the multiplier operator $T_m : H_A^p (\mathbb{R}^n) \rightarrow H_A^p (\mathbb{R}^n)$, for the range of $p$ that depends on the eccentricities of the dilation $A$ and the level of regularity of a multiplier symbol $m$. This extends the classical multiplier theorem of Taibleson and Weiss.

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Li-An Daniel Wang. 2017-04-23. A Multilier Theorem on Anisotropic Hardy Spaces. https://arxiv.org/abs/1704.06971

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