Agreement of pressure extensions #
The bounded extensions at different exponents define one operator on their
common domains, as in def:riesz-pressure.
theorem
CKN.Leray.rieszPressureSpaceTime_ae_eq_of_memLp_common
(r : ℝ)
(hr : 1 < r)
(s : ℝ)
(hs : 1 < s)
(F : Fin 3 → Fin 3 → Foundation.Parabolic.Vec3 × ℝ → ℝ)
(hFr : ∀ (i j : Fin 3), MeasureTheory.MemLp (F i j) (ENNReal.ofReal r) MeasureTheory.volume)
(hFs : ∀ (i j : Fin 3), MeasureTheory.MemLp (F i j) (ENNReal.ofReal s) MeasureTheory.volume)
:
rieszPressureSpaceTime r hr F hFr =ᵐ[MeasureTheory.volume] rieszPressureSpaceTime s hs F hFs