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A Note on Fractional Sobolev inequalities revisited

Giovanni Leoni, Asher Wheaton

math.AParXiv:2611.03185

Abstract

In this paper, we extend the analysis of homogeneous fractional Sobolev inequalities in the paper by A.D. Nguyen, J. I. Dıaz, and Q.-H. Nguyen (2020). We combine their subcritical proof with the first author's adaptation to the supercritical case to provide a short interpolation-based proof for the critical case.

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