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The L\(^p\)-integrability of the partial derivatives of a quasiconformal mapping. (English) Zbl 0258.30022


MSC:

30C62 Quasiconformal mappings in the complex plane
30E20 Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane
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References:

[1] B. V. Boyarskiĭ, Homeomorphic solutions of Beltrami systems, Dokl. Akad. Nauk SSSR (N.S.) 102 (1955), 661 – 664 (Russian).
[2] A. P. Calderon and A. Zygmund, On the existence of certain singular integrals, Acta Math. 88 (1952), 85 – 139. · Zbl 0047.10201 · doi:10.1007/BF02392130
[3] F. W. Gehring, The \?^{\?}-integrability of the partial derivatives of a quasiconformal mapping, Acta Math. 130 (1973), 265 – 277. · Zbl 0258.30021 · doi:10.1007/BF02392268
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