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arxiv: 1903.07086 · v1 · pith:SQRNH3KYnew · submitted 2019-03-17 · 🧮 math.CV

Lengths, area and modulus of continuity of some classes of complex-valued functions

classification 🧮 math.CV
keywords areaclassescontinuitymoduluspoissonresultssomebounds
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In this paper, we discuss the modulus of continuity of solutions to Poisson's equation, and give bounds of length and area distortion for some classes of $K$-quasiconformal mappings satisfying Poisson's equations. The obtained results are the extension of the corresponding classical results.

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