OAI/Analysis/RieszRectifiability/Nets/ScaledBallBumps.lean

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8 declarations, 0 contain sorry, 0 declared as axioms

Scaled ball bumps give compactly supported Lipschitz cutoffs. A lower ball-mass bound allows normalization to integral one with an explicit scale-dependent Lipschitz bound.

  1. def OAI.RieszRectifiability.scaledBallBump line 19
  2. theorem OAI.RieszRectifiability.scaledBallBump_bounds line 22
  3. theorem OAI.RieszRectifiability.scaledBallBump_lipschitz line 26
  4. theorem OAI.RieszRectifiability.scaledBallBump_eq_one line 40
  5. theorem OAI.RieszRectifiability.scaledBallBump_support_bound line 49
  6. theorem OAI.RieszRectifiability.scaledBallBump_hasCompactSupport line 59
  7. theorem OAI.RieszRectifiability.scaledBallBump_integral_lower line 66
  8. theorem OAI.RieszRectifiability.exists_normalized_ball_bump line 81