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Frank, Rupert L. ORCID logoORCID: https://orcid.org/0000-0001-7973-4688; Konig, Tobias und Tang, Hanli (2022): Reverse conformally invariant Sobolev inequalities on the sphere. In: Journal of Functional Analysis, Bd. 282, Nr. 4, 109339

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Abstract

We consider the optimization problem corresponding to the sharp constant in a conformally invariant Sobolev inequality on the n-sphere involving an operator of order 2s > n. In this case the Sobolev exponent is negative. Our results extend existing ones to noninteger values of sand settle the question of validity of a corresponding inequality in all dimensions n >= 2. (c) 2021 Elsevier Inc. All rights reserved.

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