6533b826fe1ef96bd1285007
RESEARCH PRODUCT
On functions with derivatives in a Lorentz space
Jan MalýPekka KoskelaJanne Kauhanensubject
Null setSobolev spaceNumber theoryLorentz spaceGeneral MathematicsMathematical analysisPartial derivativeAlmost everywhereAlgebraic geometryDifferentiable functionMathematicsdescription
We establish a sharp integrability condition on the partial derivatives of a Sobolev mapping to guarantee that sets of measure zero get mapped to sets of measure zero. This condition is sharp also for continuity and differentiability almost everywhere.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1999-09-01 | manuscripta mathematica |