Article ID Journal Published Year Pages File Type
4665426 Advances in Mathematics 2015 19 Pages PDF
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.

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Physical Sciences and Engineering Mathematics Mathematics (General)
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