| Authors: | Astala, Kari Todorčević, Vesna |
Affiliations: | Mathematical Institute of the Serbian Academy of Sciences and Arts | Title: | On Pavlovic’s Theorem in Space | Journal: | Potential Analysis | Volume: | 43 | Issue: | 3 | First page: | 361 | Last page: | 370 | Issue Date: | 1-Oct-2015 | Rank: | M21 | ISSN: | 0926-2601 | DOI: | 10.1007/s11118-015-9475-4 | Abstract: | We study higher dimensional counterparts to the well-known theorem of Pavlović (Ann. Acad. Sci. Fenn. Math. 27, 365–372, 2002), that every harmonic quasiconformal mapping of the disk is bi-Lipschitz. |
Keywords: | Bi-Lipschitz maps | Harmonic mappings | Higher integrability | Quasiconformal mappings | Publisher: | Springer Link | Project: | Finnish center of excellence in Analysis and Dynamics research, Academy of Finland, Grant 12719831 Methods of Functional and Harmonic Analysis and PDE with Singularities |
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