On the estimation of the difference of boundary values of functions quasiconformally mapping close domains onto the unit circle. (English) Zbl 1427.30039
Summary: We consider the quasiconformal mappings of close domains onto the unit circle. Difference of the boundary values of quasiconformally mapping functions is estimated with respect to the order of closeness of domains.
MSC:
| 30C62 | Quasiconformal mappings in the complex plane |
Keywords:
simply connected domain; Beltrami system of equations; principal homeomorphism of complex plane; quasiconformal mappingReferences:
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