OAI/Analysis/FourierLLogL/Thermal/Flat.lean
1 declarations, 0 contain sorry, 0 declared as axioms
Selecting a flat coefficient
- lemma
OAI.FourierLLogL.Dyadic.Thermal.flat_selectionline 13Source documentation
Find
λafter the width estimate.lemma flat_selection (D : ℝ) (hD : 1 ≤ D) : ∀ᶠ j : ℕ in atTop, ∀ (M : ℕ) (A B : Form M), 0 ≤ A → 0 ≤ B → ∀ t : ℝ, t ≤ D*height j → F (A+long j • B)-F A ≤ 400*t → ∃ c : ℝ, height j * H j^200 ≤ c ∧ H j^140*c ≤ long j ∧ flat (H j) (plateErr j) A (c • B) ∧ F (A+c • B)-F A ≤ 400*t ∧ (label (A+c • B)).Ex (form B) ≤ 400*t/c := by …Mentions: OAI.FourierLLogL.Dyadic.Thermal.Form, OAI.FourierLLogL.Dyadic.Thermal.F, OAI.FourierLLogL.Dyadic.Thermal.H, OAI.FourierLLogL.Dyadic.Thermal.flat, OAI.FourierLLogL.Dyadic.Thermal.plateErr, OAI.FourierLLogL.Dyadic.Thermal.label, OAI.FourierLLogL.Dyadic.Thermal.form