Serafima Cerchez: Quasiconformality and compatibility for direct products of homeomorphisms, p.305-314

Abstract:

Replacing limsup by liminf we establish the characterization of quasiconformality for direct products of homeomorphisms by a compatibility condition in Karmazin's meaning. We use regular families of neighborhoods and distance on direct products of Euclidean domains. We prove that direct products of two quasiconformal mappings are quasiconformal under certain conditions of compatibility.

Key Words: Direct product, quasiconformal map, linear liminf-dilatation, regular families of neighborhoods.

2000 Mathematics Subject Classification: Primary: 30C65.

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