English

Characterization of parabolic Hardy spaces by Littlewood-Paley functions

Classical Analysis and ODEs 2016-11-24 v2
Authors: Shuichi Sato
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Abstract

We consider Littlewood-Paley functions associated with non-isotropic dilations. We prove that they can be used to characterize the parabolic Hardy spaces of Calder\'{o}n-Torchinsky.

Keywords

parabolic Hardy spaces Littlewood-Paley functions non-isotropic dilations Calderón-Torchinsky

Cite

@article{arxiv.1607.03645,
  title  = {Characterization of parabolic Hardy spaces by Littlewood-Paley functions},
  author = {Shuichi Sato},
  journal= {arXiv preprint arXiv:1607.03645},
  year   = {2016}
}

Comments

16 pages; statements of Theorems 2.4 and 3.7 are clarified

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