English

Issues related to Rubio de Francia's Littlewood--Paley Inequality: A Survey

Classical Analysis and ODEs 2007-05-23 v3

Abstract

Rubio de Francia's Littlewood Paley inequality is an extension of the classical Littlewood Paley inequality to one that holds for a decomposition of frequency space into arbitrary disjoint intervals. We survey this inequality, its higher dimensional analogs, and the implications for multipliers.

Keywords

Cite

@article{arxiv.math/0306417,
  title  = {Issues related to Rubio de Francia's Littlewood--Paley Inequality: A Survey},
  author = {Michael T Lacey},
  journal= {arXiv preprint arXiv:math/0306417},
  year   = {2007}
}

Comments

43 pages, 43 references. Additional material and references added. A final polishing of the manuscript. To appear in NYJ Math