Abstract
The remarkable theorem of P. Belinskii is a deep underlying result in the variational calculus for quasiconformal maps. It is valid only for maps with small sufficiently regular Beltrami coefficients. We provide a global version of this theorem connected with the classical results on quasiconformal extensions of conformal maps and its new applications.
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Translated from Ukrains’kiĭ Matematychnyĭ Visnyk, Vol. 19, No. 2, pp. 176–201, April–June, 2022.
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Krushkal, S.L. Strengthened Belinskii theorem and its applications. J Math Sci 264, 396–414 (2022). https://doi.org/10.1007/s10958-022-06007-3
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DOI: https://doi.org/10.1007/s10958-022-06007-3