Hölder continuity of Sobolev functions and quasiconformal mappings
✍ Scribed by P. Koskela; F. Reitich
- Publisher
- Springer-Verlag
- Year
- 1993
- Tongue
- French
- Weight
- 833 KB
- Volume
- 213
- Category
- Article
- ISSN
- 0025-5874
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📜 SIMILAR VOLUMES
By means of the Minkowski function we define a new concept of local Holder Ž . equicontinuity respectively local Holder continuity for families consisting of Ž . set-valued mappings respectively for set-valued mappings between topological linear spaces. The connection between this new concept and t
This work focuses on the local Hölder exponent as a measure of the regularity of a function around a given point. We investigate in detail the structure and the main properties of the local Hölder function (i.e., the function that associates to each point its local Hölder exponent). We prove that it