OAI/Analysis/LipschitzHilbert/Geometry/BinaryFarMass.lean

GitHub source file

2 declarations, 0 contain sorry, 0 declared as axioms

Finite binary stopping argument for the far-family mass.

  1. theorem OAI.LipschitzHilbert.SelectedFarFamily.binary_mass_bound line 13
  2. theorem OAI.LipschitzHilbert.SelectedFarFamily.strip_mass_bound line 67

    Source documentation

    A finite far family has uniformly bounded mass in every strip whose length is at least every member's length.

    theorem strip_mass_bound (F : SelectedFarFamily ι) (c l : ℝ) (hl : 0 < l)
        (hmax : ∀ j ∈ F.members, (F.rectangles j).long ≤ l) :
        stripMass F.rectangles F.members F.refRect c l ≤ 10*volume (F.refRect.stripSlab c l) := by
    …

    Mentions: OAI.LipschitzHilbert.SelectedFarFamily, OAI.LipschitzHilbert.stripMass