OAI/Analysis/RieszRectifiability/Nets/ExteriorCellMeans.lean
3 declarations, 0 contain sorry, 0 declared as axioms
Means of exterior hard-truncated fields
For bounded data supported outside a ball, the far-kernel estimate controls the directional oscillation of the hard-truncated transform near the ball's center. Averaging this estimate over a measurable set of finite positive mass gives the same bound for the difference between its cell mean and the central value.
- def
OAI.RieszRectifiability.exteriorCellMeanConstantline 23 - theorem
OAI.RieszRectifiability.hard_exterior_directional_differenceline 26 - theorem
OAI.RieszRectifiability.hard_exterior_cellMean_near_centerline 50