Theorems · Theorem · measure theory

MeasureTheory.norm_indicatorConstLp

∀ {α : Type u_1} {E : Type u_2} {m : MeasurableSpace α} {p : ENNReal} {μ : MeasureTheory.Measure α}
  [inst : NormedAddCommGroup E] {s : Set α} {hs : MeasurableSet s} {hμs : μ s ≠ ⊤} {c : E},
  p ≠ 0 → p ≠ ⊤ → ‖MeasureTheory.indicatorConstLp p hs hμs c‖ = ‖c‖ * μ.real s ^ (1 / p.toReal)

Defined in

Mathlib.MeasureTheory.Function.LpSpace.Indicator

Cited by

4 results in Mathlib

Foundations

Depth 224 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedAddCommGroup