Quasisymmetry and rectifiability of quasispheres

Details Quasisymmetry and rectifiability of quasispheres Quasisymmetry and rectifiability of quasispheres

2012-01-07

arxiv.org/abs/1201.1581v2

Mathematics

Classical Analysis and ODEs

19 pages, 3 figures: in this version, we expanded the introduction and added a sharpness statement

Scientific paper

We obtain Dini conditions that guarantee that an asymptotically conformal quasisphere is rectifiable. In particular, we show that for any $\epsilon>0$ integrability of $({\rm ess}\sup_{1-t<|x|<1+t} K_f(x)-1)^{2-\epsilon} dt/t$ implies that the image of the unit sphere under a global quasiconformal homeomorphism $f$ is rectifiable. We also establish estimates for the weak quasisymmetry constant of a global $K$-quasiconformal map in neighborhoods with maximal dilatation close to 1.

Affiliated with

Also associated with

No associations

Rating

Quasisymmetry and rectifiability of quasispheres does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Quasisymmetry and rectifiability of quasispheres, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quasisymmetry and rectifiability of quasispheres will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-635569