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arxiv: 1505.02633 · v3 · pith:F5OYLZCCnew · submitted 2015-05-11 · 🧮 math.FA

BMO: Oscillations, self improvement, Gagliardo coordinate spaces and reverse Hardy inequalities

classification 🧮 math.FA
keywords coordinategagliardoselfspacesapplicationsapproachclassicalfunctions
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A new approach to classical self improving results for $BMO$ functions is presented. "Coordinate Gagliardo spaces" are introduced and a generalized version of the John-Nirenberg Lemma is proved. Applications are provided.

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