Existence of the dyadic Calderón--Zygmund decomposition #
This module turns the maximal-cube estimates into the consumer-facing decomposition structure. The good and bad parts are integrated directly over the disjoint cube family.
theorem
CKN.Foundation.Euclidean.exists_calderonZygmund_decomposition
{F : Parabolic.Vec3 → ℝ}
{height : ℝ}
(hF : MeasureTheory.Integrable F MeasureTheory.volume)
(hheight : 0 < height)
:
∃ (D : CZDecomposition F height), D.cubes = dyadicMaximalCubes F height