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.
| Original language | English |
|---|---|
| Pages (from-to) | 881-896 |
| Number of pages | 16 |
| Journal | Annales Academiae Scientiarum Fennicae. Mathematica |
| Volume | 41 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 2016 |
| MoE publication type | A1 Journal article-refereed |
Funding
This cooperation was supported by the Vilho, Yrjo and Kalle Vaisala, Fund, the Academy of Finland, and the Sobolev Institute of Mathematics.
Keywords
- Power quasisymmetric
- extension
- sturdy
- BILIPSCHITZ
- PLANE
- SETS
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