OAI/Analysis/LipschitzHilbert/Geometry/BinaryFarMass.lean
2 declarations, 0 contain sorry, 0 declared as axioms
Finite binary stopping argument for the far-family mass.
- theorem
OAI.LipschitzHilbert.SelectedFarFamily.binary_mass_boundline 13 - theorem
OAI.LipschitzHilbert.SelectedFarFamily.strip_mass_boundline 67Source 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