A measurable function is exactly one whose dyadic Hausdorff-content Choquet averages recover it at almost every point, and continuous functions are not dense in the corresponding spaces for content dimension delta < n.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.FA 1years
2025 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
On Lebesgue points and measurability with Choquet integrals
A measurable function is exactly one whose dyadic Hausdorff-content Choquet averages recover it at almost every point, and continuous functions are not dense in the corresponding spaces for content dimension delta < n.