OAI/Analysis/RieszRectifiability/Nets/ExteriorCellMeans.lean

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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.

  1. def OAI.RieszRectifiability.exteriorCellMeanConstant line 23
  2. theorem OAI.RieszRectifiability.hard_exterior_directional_difference line 26
  3. theorem OAI.RieszRectifiability.hard_exterior_cellMean_near_center line 50