Some sufficient conditions for the convergence of the derivatives of weakly quasiregular mappings (Q2769212)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Some sufficient conditions for the convergence of the derivatives of weakly quasiregular mappings |
scientific article; zbMATH DE number 1701110
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some sufficient conditions for the convergence of the derivatives of weakly quasiregular mappings |
scientific article; zbMATH DE number 1701110 |
Statements
5 February 2002
0 references
convergence of derivatives
0 references
sequence
0 references
plane quasiconformal mappings
0 references
Some sufficient conditions for the convergence of the derivatives of weakly quasiregular mappings (English)
0 references
Using the \(L^p-\) norm of the Beurling-Ahlfors operator, \textit{T. Iwaniec} and \textit{G. Martin} [Acta Math. 170, 29-81 (1993; Zbl 0785.30008)] have proved inter alia for even dimension s, a regularity theorem which generalises a well-known theorem of Bojarski. Similar results for all dimensions have been proved by \textit{T. Iwaniec} [Ann. Math. 136, 589-624 (1992; Zbl 0267.30016)]. Using these methods the author generalises to \(n\)-dimension two theorems given in \textit{O. Lehto} and \textit{K. L. Virtanen} (Quasiconformal mappings in the plane (1973; Zbl 0785.30009), Lemma IV.5.1 and Theorem V.5.3) which deal with the convergence of the derivatives of a sequence of plane \(K-\) quasiconformal mappings.
0 references
