On strengthening K.~Strebel's convergence theorem

V. I. Ryazanov

Izvestiya. Mathematics , Tome 40 (1993) no. 3, pp. 591-606.

Résumé

This paper is a study of the behavior of complex characteristics for locally uniform convergence of quasiconformal mappings. The main result strengthens Strebel's convergence theorem, and one of the corollaries contains, in particular, a well-known theorem of Bers and Bojarski. An assertion about the sharpness of the result is also given.

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