关于测度的傅里叶变换的圆平均的一个注记
A remark on circular means of Fourier transforms of measures
摘要：
Wolff在最近的一篇论文中给出了有限能量紧支撑测度的圆L^p平均的最优衰减，其中p>=2，并应用于Falconer距离问题。然后在该论文中提出了一个问题，即对于p < 2，这些估计值是否有任何非平凡的改进。我们对这个问题的回答是否定的。
英文摘要：
In a recent paper of Wolff the optimal decay of circular L^p means of compactly supported measures of finite energy was given for p>=2, with application to Falconer's distance problem. The question was then raised in that paper as to whether any non-trivial improvement to these estimates were available for p < 2. We answer this question in the negative.
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。
