Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4665426 | Advances in Mathematics | 2015 | 19 Pages |
Abstract
We prove an essentially sharp estimate in terms of generalized Hausdorff measures for the images of boundaries of Hölder domains under continuous Sobolev mappings, satisfying suitable Orlicz–Sobolev conditions. This estimate marks a dimension gap, which was first observed in [2] for conformal mappings.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Pekka Koskela, Aleksandra Zapadinskaya,