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

2003/06/29 by Michael T. Lacey, Michael T Lacey, Lacey, Michael T · 1 citation
Mathematics · #42 #Advanced Banach Space Theory #Advanced Harmonic Analysis Research #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Geometric Analysis and Curvature Flows #math.CA #msc:42

paper · pdf · doi:10.48550/arxiv.math/0306417

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

openalex publication_date 2003/06/29 · arxiv created 2005/08/09 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Some Maximal Inequalities

Cited by

• Littlewood, Paley and Almost-Orthogonality: a theory well ahead of its time

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