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arxiv: math/0306417 · v3 · submitted 2003-06-29 · 🧮 math.CA

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

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keywords inequalityfrancialittlewoodpaleyrubiosurveyanalogsarbitrary
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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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