Projekte pro Jahr
Abstract
We prove lifting theorems for complex representations V of finite groups G. Let s = (s 1, …, s n) be a minimal system of homogeneous basic invariants and let d be their maximal degree. We prove that any continuous map f: R m ? V such that f = s ? f is of class C d-1,1 is locally of Sobolev class W 1,p for all [formula presented]In the case m = 1 there always exists a continuous choice f for given [formula presented]We give uniform bounds for the W 1,p-norm of f in terms of the C d-1,1-norm of f. The result is optimal: in general a lifting f cannot have a higher Sobolev regularity and it even might not have bounded variation if f is in a larger Hölder class.
Originalsprache | Englisch |
---|---|
Aufsatznummer | 037 |
Seitenumfang | 31 |
Fachzeitschrift | Symmetry, Integrability and Geometry: Methods and Applications |
Jahrgang | 17 |
DOIs | |
Publikationsstatus | Veröffentlicht - 2021 |
ÖFOS 2012
- 101002 Analysis
- 101009 Geometrie
Projekte
- 1 Laufend
-
Isoperimetrische Struktur von Anfangsdaten der Einstein-Gleichungen
1/01/17 → 31/12/24
Projekt: Forschungsförderung