Arcwise Connected Domains, Quasiconformal Mappings, and Quasidisks by Yu-Ming Chu

“…We prove that a homeomorphism f:R2→R2 is a quasiconformal mapping if and only if f(D) is an arcwise connected domain for any arcwise connected domain D⊆R2, and D is a quasidisk if and only if both D and its exterior D*=R2∖D¯ are arcwise connected domains.…”
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1-Quasiconformal Mappings and CR Mappings on Goursat Groups by Qing Yan Wu, Zun Wei Fu

“…We show that 1-quasiconformal mappings on Goursat groups are CR or anti-CR mappings. …”
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Explicit Bounds and Sharp Results for the Composition Operators Preserving the Exponential Class by Fernando Farroni, Raffaella Giova

“…Let f:Ω⊂Rn→Rn be a quasiconformal mapping whose Jacobian is denoted by Jf and let EXP(Ω) be the space of exponentially integrable functions on Ω. …”
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