Abstract
The differential operators ϖ and ϖ are constructed in the spaces of several real variables. They generalize the usual (two-dimensional) Cauchy-Riemann operators, which play an important role in the theories of complex functions, differential equations, and quasicoformal mappings.
The Beltrami type differential equation in the space ℝn is investigated and its connections with quasiconformality of f is studied. As an application, LP-estimates of derivatives of quasiconformal mappings in ℝn are given.
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References
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© 1983 Springer-Verlag Berlin Heidelberg
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Iwaniec, T. (1983). On cauchy-riemann derivatives in several real variables. In: Ławrynowicz, J. (eds) Analytic Functions Błażejewko 1982. Lecture Notes in Mathematics, vol 1039. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0073367
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DOI: https://doi.org/10.1007/BFb0073367
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