AI 中文总结
该研究将p=1的Hardy–Littlewood–Sobolev不等式适配至各向异性情形，由此得到若干各向异性Bourgain–Brezis不等式实例，拓展了相关不等式的适用范围。
AI 中文摘要
我们针对p=1的Hardy–Littlewood–Sobolev不等式作了适配各向异性情形的调整，作为主定理的推论得到了若干各向异性Bourgain–Brezis不等式的实例。
英文摘要
We provide an adjustment of the Hardy--Littlewood--Sobolev inequality for p=1 to the anisotropic setting. Several examples of anisotropic Bourgain--Brezis inequalities are obtained as corollaries of the main theorem.
Comments59 pages, 3 figures
