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

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

2003-06-29

arxiv.org/abs/math/0306417v3

Mathematics

Classical Analysis and ODEs

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

Scientific paper

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.

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