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Quadratic differentials and a separating transformation in extremal problems on non-overlapping domains. (Russian. English summary) Zbl 1249.30082

Summary: The paper is devoted to extremal problems of geometric function theory associated with estimates of functionals defined on systems of non-overlapping domains and, in particular, to the well-known problem of V. N. Dubinin [Russ. Math. Surv. 49, No. 1, 1–79 (1994); translation from Usp. Mat. Nauk 49, No. 1 (295), 3–76 (1994; Zbl 0830.30014)] and a generalization of some results in this problem.

MSC:

30C75 Extremal problems for conformal and quasiconformal mappings, other methods
30C99 Geometric function theory

Citations:

Zbl 0830.30014
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