English

Lp estimates for non smooth bilinear Littlewood-Paley square functions on R

Functional Analysis 2008-11-19 v1

Abstract

In this work, some non smooth bilinear analogues of linear Littlewood-Paley square functions on the real line are studied. These bilinear operators are closely related to the bilinear Hilbert transforms and vector valued version of these ones. Mainly we prove boundedness-properties in Lebesgue spaces for them.

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Cite

@article{arxiv.0811.2854,
  title  = {Lp estimates for non smooth bilinear Littlewood-Paley square functions on R},
  author = {Frederic Bernicot},
  journal= {arXiv preprint arXiv:0811.2854},
  year   = {2008}
}

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33 pages