Quasiregular curves: H\'older continuity and higher integrability

Autor:	Onninen, Jani, Pankka, Pekka
Rok vydání:	2020
Předmět:	Mathematics - Complex Variables Mathematics - Differential Geometry Primary 30C65 Secondary 32A30 53C15
Druh dokumentu:	Working Paper
Popis:	We show that a $K$-quasiregular $\omega$-curve from a Euclidean domain to a Euclidean space with respect to a covector $\omega$ is locally $(1/K)(\lVert \omega\rVert/|\omega|_{\ell_1})$-H\"older continuous. We also show that quasiregular curves enjoy higher integrability.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2006.09340 Zobrazit plný text záznamu View this record from Arxiv