diff --git a/FormalizingGMT/Project Versions/Definitions.lean b/FormalizingGMT/Project Versions/Definitions.lean index 55b0693..b1d4988 100644 --- a/FormalizingGMT/Project Versions/Definitions.lean +++ b/FormalizingGMT/Project Versions/Definitions.lean @@ -72,6 +72,13 @@ noncomputable def density_ratio (E ∩ EMetric.closedBall x (ENNReal.ofReal r)) / (ENNReal.ofReal (2 * r)) ^ s +noncomputable def density_ratio_radon + {X : Type*} [EMetricSpace X] [MeasurableSpace X] [BorelSpace X] + (μ : MeasureTheory.Measure X) + (E : Set X) (x : X) (r : ℝ) : ENNReal := + μ (E ∩ EMetric.closedBall x (ENNReal.ofReal r)) / + μ (EMetric.closedBall x (ENNReal.ofReal r)) + noncomputable def upper_density {X : Type*} [EMetricSpace X] [MeasurableSpace X] [BorelSpace X] (E : Set X) (s : ℝ) (x : X) : ENNReal :=