Skip to main navigation Skip to search Skip to main content

Quasiconformal mappings which increase dimension

Research output: Contribution to journalArticlepeer-review

25 Scopus citations

Abstract

For any compact set E ⊂ Rd, d ≥ 1, with Hausdorff dimension 0 < dim(E) < d and for any ε > 0, there is a quasiconformal mapping (quasisymmetric if d = 1 ) f of Rd to itself such that dim(f(E)) > d - ε.

Original languageEnglish
Pages (from-to)397-407
Number of pages11
JournalAnnales Academiae Scientiarum Fennicae Mathematica
Volume24
Issue number2
StatePublished - 1999

Fingerprint

Dive into the research topics of 'Quasiconformal mappings which increase dimension'. Together they form a unique fingerprint.

Cite this