一致散布测度与向量场
Uniformly spread measures and vector fields
摘要：
本文证明了d维欧几里得空间中局部有限测度的一致扩展的两种不同思想是等价的。第一个想法是制定在有限距离运输的勒贝格测度，而第二个想法是制定在向量场连接一个给定的措施与勒贝格测度。
英文摘要：
We show that two different ideas of uniform spreading of locally finite measures in the d-dimensional Euclidean space are equivalent. The first idea is formulated in terms of finite distance transportations to the Lebesgue measure, while the second idea is formulated in terms of vector fields connecting a given measure with the Lebesgue measure.
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。
