Limit of Fractional Power Sobolev Inequalities
classification
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keywords
inequalitiesfractionalpowersobolevsphereapproachargumentbranson
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We derive the Moser-Trudinger-Onofri inequalities on the 2-sphere and the 4-sphere as the limiting cases of the fractional power Sobolev inequalities on the same spaces, and justify our approach as the dimensional continuation argument initiated by Thomas P. Branson.
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