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arXiv · 2011.10651

A PDE Characterization of Anisotropic Hardy Spaces

Marcin Bownik·Li-An Daniel Wang
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Abstract

We obtain a differential characterization for the anisotropic Hardy space $H_A^p$ by identifying it with a parabolic Hardy space associated with a general continuous group. This allows $H_A^p$ to be defined using a parabolic differential equation of Calderon and Torchinsky. We also provide a classification of dilations corresponding to equivalent anisotropic Hardy spaces with respect to linear transformations.

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Marcin Bownik, Li-An Daniel Wang. 2020-11-20. A PDE Characterization of Anisotropic Hardy Spaces. https://arxiv.org/abs/2011.10651

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