Universität Augsburg
|
Dr. Ulrich Menne
Universität Leipzig
spricht am
Donnerstag, 5. April 2018
um
16:30 Uhr
im
Raum 2004 (L1)
über das Thema:
Abstract: |
For distributions, we build a theory of higher order pointwise differentiability comprising, for order zero, Łojasiewicz’s notion of point value. Results include Borel regularity of differentials, higher order rectifiability of the associated jets, a Rademacher-Stepanov type differentiability theorem, and a Lusin type approximation. A substantial part of this development is new also for zeroth order. Moreover, we establish a Poincaré inequality involving the natural norms of negative order of differentiability. As a corollary, we characterise pointwise differentiability in terms of point values of distributional partial derivatives. |
Hierzu ergeht herzliche Einladung. |
Prof. Dr. Bernd Schmidt |