6533b829fe1ef96bd128a25a

RESEARCH PRODUCT

Which measures are projections of purely unrectifiable one-dimensional Hausdorff measures

Marianna CsörnyeiVille Suomala

subject

Set (abstract data type)PlanarApplied MathematicsGeneral MathematicsOrthographic projectionMathematical analysisHausdorff spaceMathematics::Metric GeometryOuter measureHausdorff measureReal lineMeasure (mathematics)Mathematics

description

We give a necessary and sufficient condition for a measure p, on the real line to be an orthogonal projection of XAl for some purely 1-unrectifiable planar set A.

https://doi.org/10.1090/s0002-9939-08-09660-3