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Hardy spaces on homogeneous groups and Littlewood-Paley functions

Classical Analysis and ODEs 2019-05-13 v1
Authors: Shuichi Sato
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Abstract

We establish a characterization of the Hardy spaces on the homogeneous groups in terms of the Littlewood-Paley functions. The proof is based on vector-valued inequalities shown by applying the Peetre maximal function.

Keywords

hardy spaces homogeneous groups littlewood-paley functions vector-valued inequalities peetre maximal function

Cite

@article{arxiv.1905.04015,
  title  = {Hardy spaces on homogeneous groups and Littlewood-Paley functions},
  author = {Shuichi Sato},
  journal= {arXiv preprint arXiv:1905.04015},
  year   = {2019}
}

Comments

22 pages

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