Concepedia

Mappings of finite distortion: Sharp Orlicz-conditions

Janne Kauhanen, Pekka Koskela, Jan Malý, Jani Onninen, Xiao Zhong

Revista Matemática Iberoamericana · 2003 · 74 citations · 5 references

Open access

Concepts

Minimal Integrability AssumptionsRiemann-hilbert ProblemFinite DistortionFunctional AnalysisQuasiconformal MappingNonlinear Functional Analysis

Abstract

We establish continuity, openness and discreteness, and the condition (N) for mappings of finite distortion under minimal integrability assumptions on the distortion.

References

5

Mappings of finite distortion: Monotonicity and continuity

Tadeusz Iwaniec, Pekka Koskela, Jani Onninen · Inventiones mathematicae · 2001 · 172 citations

Interpolation Space, Finite Distortion, Functional Analysis +2

Space mappings with bounded distortion

Yu. G. Reshetnyak · Siberian Mathematical Journal · 1967 · 164 citations

Integral Geometry, Cartography, Engineering +4

Mappings of finite distortion: condition N

Janne Kauhanen, Pekka Koskela, Jan Malý · The Michigan Mathematical Journal · 2001 · 98 citations · Full text

Interpolation Space, Finite Distortion, Functional Analysis +2

An extension of Reshetnyak's Theorem

Enrique Villamor, Juan J. Manfredi · Indiana University Mathematics Journal · 1998 · 66 citations · Full text

Real Algebraic Geometry, Extremal Set Theory, Geometry Of Number

Estimates of Jacobians by subdeterminants

Flavia Giannetti, Tadeusz Iwaniec, Jani Onninen et al. · Journal of Geometric Analysis · 2002 · 60 citations

Global Analysis, Multivariate Approximation, Functional Analysis