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arXiv · 1702.02078

Sharp exponential integrability for critical Riesz potentials and fractional Laplacians on R^n

Luigi Fontana·Carlo Morpurgo
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Abstract

We derive sharp Adams inequalities for the Riesz and more general Riesz-like potentials on the whole of R^n. As a consequence, we obtain sharp Moser-Trudinger inequalities for the critical Sobolev spaces W^{a,n/a}(R^n), 0<a<n. These inequalities involve fractional Laplacians, higher order gradients, general homogeneous elliptic operators with constant coefficients, and general trace type Borel measures.

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Luigi Fontana, Carlo Morpurgo. 2017-02-07. Sharp exponential integrability for critical Riesz potentials and fractional Laplacians on R^n. https://arxiv.org/abs/1702.02078

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