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

Liuyu Qin

doi:10.1016/j.aim.2022.108195

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arXiv · 2109.08506

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

Liuyu Qin

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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.

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Liuyu Qin. 2021-09-17. Adams inequalities with exact growth condition for Riesz-like potentials on $\mathbb{R}^n$. https://doi.org/10.1016/j.aim.2022.108195

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