Theorems · Theorem · functional analysis

MeasureTheory.MemLp.norm_rpow_div

∀ {α : Type u_1} {E : Type u_4} {m : MeasurableSpace α} {p : ENNReal} {μ : MeasureTheory.Measure α}
  [inst : NormedAddCommGroup E] {f : α → E},
  MeasureTheory.MemLp f p μ → ∀ (q : ENNReal), MeasureTheory.MemLp (fun x => ‖f x‖ ^ q.toReal) (p / q) μ

Defined in

Mathlib.MeasureTheory.Function.LpSpace.Basic

Cited by

2 results in Mathlib

Foundations

Depth 210 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedAddCommGroup