关于M.基督
A note on a theorem of M. Christ
摘要：
本文是对我们的论文“基于定量重排不等式的球形群集证明”的补充。最近，M。基督已经得出了一个关于Riesz重排不等式稳定性的深刻结果。我们感兴趣的是这个不等式的特殊情况，其中两个集合是相等的，第三个集合是一个固定的球。我们表明，在这种特殊的情况下，基督的证明延伸只有微小的变化的情况下，特征函数被替换为功能之间的值为零和一。
英文摘要：
This note is a supplement to our paper `Proof of spherical flocking based on quantitative rearrangement inequalities'. Recently, M. Christ has derived a deep result concerning stability of the Riesz rearrangement inequality. We are interested in the special case of this inequality where two of the sets are equal and the third set is a fixed ball. We show that in this special case, Christ's proof extends with only minor changes to the case where characteristic functions are replaced by functions taking values between zero and one.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
