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- Title
A Microlocal Characterization of Lipschitz Continuity.
- Authors
JUBIN, Benoît
- Abstract
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.
- Subjects
LIPSCHITZ continuity; MICROLOCAL analysis; SHEAF theory; SUBMANIFOLDS; MEAN value theorems
- Publication
Publications of the Research Institute for Mathematical Sciences, 2018, Vol 54, Issue 4, p729
- ISSN
0034-5318
- Publication type
Article
- DOI
10.4171/PRIMS/54-4-2