Adams inequalities with exact growth condition for Riesz-like potentials on ${\mathbb{R}}^n$

Abstract

We derive sharp Adams inequalities with exact growth condition for the Riesz potential as well as more general Riesz-like potentials on R^n. We also obtain Moser-Trudinger inequalities with exact growth condition for the fractional Laplacian, and for general homogeneous elliptic differential operators with constant coefficients.

42 pages. Several typos, omissions were corrected. Some of the references are corrected. Proof of Lemma 1 was added to Appendix A

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