Lipschitz连续性的微局部刻画
A microlocal characterization of Lipschitz continuity
摘要：
从微局部的观点研究了微分流形之间的连续映射。特别地，我们刻画了这些映射的Lipschitz连续性的微支撑的常数层在他们的图。此外，我们给出了连续映射的图的微支撑的上下界上界，并利用这些上界刻画了微局部严格可微性。
英文摘要：
We study continuous maps between differential manifolds from a microlocal point of view. In particular, we characterize the Lipschitz continuity of these maps in terms of the microsupport of the constant sheaf on their graph. Furthermore, we give lower and upper bounds on the microsupport of the graph of a continuous map and use these bounds to characterize strict differentiability in microlocal terms.
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。
