ON THE EXTENSION OF QUASISYMMETRIC MAPS

Research output: Contribution to journalArticleScientificpeer-review

Researchers

Research units

  • Novosibirsk State University

Abstract

We show that an epsilon-power-quasisymmetric map f: A -> R-n can be extended to a C epsilon-power-quasisymmetric map F: R-n -> R-n if A subset of R-n satisfies a geometric thickness condition and is an element of is small enough. The constant C depends on c and n only.

Details

Original languageEnglish
Pages (from-to)881-896
Number of pages16
JournalANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA
Volume41
Issue number2
Publication statusPublished - 2016
MoE publication typeA1 Journal article-refereed

    Research areas

  • Power quasisymmetric, extension, sturdy, BILIPSCHITZ, PLANE, SETS

ID: 6596751