分数阶 Gagliardo-Nirenberg 插值不等式与有界平均振荡
经典分析与常微分方程
2023-09-11 v3
摘要
我们证明了用有界平均振荡半范与某个 Sobolev 半范来估计 Sobolev 半范的 Gagliardo-Nirenberg 插值不等式，其中部分 Sobolev 半范具有分数阶。
引用
@article{arxiv.2208.14691,
title = {Fractional Gagliardo-Nirenberg interpolation inequality and bounded mean oscillation},
author = {Jean Van Schaftingen},
journal= {arXiv preprint arXiv:2208.14691},
year = {2023}
}
备注
11 pages, additional references and localised higher-order interpolation, and typographical corrections