6533b85bfe1ef96bd12babea
RESEARCH PRODUCT
Absolute continuity of mappings with finite geometric distortion
Ville Tengvallsubject
Combinatoricsmappings of finite distortionGeneral Mathematicsta111Mathematical analysisOpen setA domainMultiplicity (mathematics)Absolute continuitymoduli inequalitiesGeometric distortionq-mappingsMathematicsdescription
Suppose that ⊂ R n is a domain with n ≥ 2. We show that a continuous, sense-preserving, open and discrete mapping of finite geometric outer distortion with KO(·,f) ∈ L 1/(n 1) loc () is absolutely continuous on almost every line parallel to the coordinate axes. Moreover, if U ⊂ is an open set with N(f,U) 0 depends only on n and on the maximum multiplicity N(f,U).
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2015-01-01 | Annales Academiae Scientiarum Fennicae Mathematica |