$\mathbb{R}^n$ 上 Riesz 类势的带精确增长条件的 Adams 不等式
偏微分方程分析
2022-11-02 v2
摘要
我们推导了 上 Riesz 势以及更一般的 Riesz 类势的带精确增长条件的尖锐 Adams 不等式。我们还获得了分数阶拉普拉斯算子以及一般常系数齐次椭圆微分算子的带精确增长条件的 Moser-Trudinger 不等式。
引用
@article{arxiv.2109.08506,
title = {Adams inequalities with exact growth condition for Riesz-like potentials on $\mathbb{R}^n$},
author = {Liuyu Qin},
journal= {arXiv preprint arXiv:2109.08506},
year = {2022}
}
备注
42 pages. Several typos, omissions were corrected. Some of the references are corrected. Proof of Lemma 1 was added to Appendix A