English

Littlewood--Paley--Rubio de Francia inequality for the Walsh system

Classical Analysis and ODEs 2014-12-09 v1 Functional Analysis Probability

Abstract

Rubio de Francia proved the one-sided Littlewood--Paley inequality for arbitrary intervals in LpL^p, 2p<2 \le p < \infty. In this article, such an inequality is proved for the Walsh system.

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Cite

@article{arxiv.1412.2266,
  title  = {Littlewood--Paley--Rubio de Francia inequality for the Walsh system},
  author = {Nikolay N. Osipov},
  journal= {arXiv preprint arXiv:1412.2266},
  year   = {2014}
}

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9 pages