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

Published 11 May 2015 in math.FA | (1505.02633v3)

Abstract: 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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