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LeanPool.CaffarelliKohnNirenberg.Leray.RieszPressureDualityCompact

Compact-core duality for the space-time pressure operators #

The spatial CKN L² pairing yields duality first for compact space-time data.

theorem CKN.Leray.rieszPressureComponentCompactClass_pairing (r : ℝ) (hr : 1 < r) (q : ℝ) (hq : 1 < q) (hHolder : r.HolderConjugate q) (i j : Fin 3) {F G : Foundation.Parabolic.Vec3 × ℝ → ℝ} (hF : Continuous F) (hFc : HasCompactSupport F) (hG : Continuous G) (hGc : HasCompactSupport G) :

The joint compact representative obeys the adjoint identity, used by lem:riesz-duality.