6533b7dbfe1ef96bd126ff54

RESEARCH PRODUCT

Mappings of finite distortion: Removable singularities

Pekka KoskelaKai Rajala

subject

Distortion (mathematics)Distortion functionGeneral MathematicsBounded functionMathematical analysisGravitational singularityAlgebra over a fieldRemovable singularityMathematics

description

We show that certain small sets are removable for bounded mappings of finite distortion for which the distortion function satisfies a suitable subexponential integrability condition. We also give an example demonstrating the sharpness of this condition.

https://doi.org/10.1007/bf02807201