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Boundary properties of homeomorphisms with an unlimited characteristic of quasi-conformality. (English. Russian original) Zbl 0898.30017

Dokl. Math. 54, No. 2, 733-734 (1996); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 350, No. 4, 458-459 (1996).
From the text: “Boundary properties of homeomorphisms with a prescribed behavior of the averaged characteristic of quasiconformality are investigated. Unlike the previous work of the author, this averaging is done over infinitesimal concentric balls rather than over spheres, which considerably reinforces the preceding results”.

MSC:

30C65 Quasiconformal mappings in \(\mathbb{R}^n\), other generalizations