A PDE Characterization of Anisotropic Hardy Spaces
Classical Analysis and ODEs
2020-11-24 v1
Abstract
We obtain a differential characterization for the anisotropic Hardy space by identifying it with a parabolic Hardy space associated with a general continuous group. This allows 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.
Keywords
Cite
@article{arxiv.2011.10651,
title = {A PDE Characterization of Anisotropic Hardy Spaces},
author = {Marcin Bownik and Li-An Daniel Wang},
journal= {arXiv preprint arXiv:2011.10651},
year = {2020}
}