Extremals for fractional Moser-Trudinger inequalities in dimension 1 via harmonic extensions and commutator estimates
classification
🧮 math.AP
keywords
commutatorestimatesextremalsfractionalinequalitiesmoser-trudingeranalysisblow-up
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We prove the existence of extremals for fractional Moser-Trudinger inequalities in an interval and on the whole real line. In both cases we use blow-up analysis for the corresponding Euler-Lagrange equation, which requires new sharp estimates obtained via commutator techniques.
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