Tube-measurability
Marianna Csörnyei, Laura Wisewell
Abstract
Define an outer measure on Rn by taking the infimum, over all covers of the set by tubes, of the sum of the cross-sectional areas of the tubes. We show that the only measurable sets for this outer measure are its null sets and their complements.
Create a lesson
Related papers
Hypergeometric solutions to coupled Klein-Gordon equations in cosmology with small-field excursions
Amin Aboubrahim, Anastasiia Minenkova, Tomas Yonkers
On the variation and asymptotics of maximal functions
Emanuel Carneiro, Julian Weigt
Endpoint power weight inequalities for spherical maximal functions
Marco Fraccaroli, Juyoung Lee, Nikou Lei et al.
Weighted Norm Inequalities for Maximal Multi-sublinear Rough Singular Integrals
Bae Jun Park
Cone restriction via direction-restricted two-ends Furstenberg estimates
Xiangyu Wang
Finiteness of Fuchsian equations with unitarizable monodromy on compact Riemann surfaces
Sheng Tan