Theorems · Theorem · functional analysis

MeasureTheory.eLpNorm_mono_measure

∀ {α : Type u_1} {m0 : MeasurableSpace α} {p : ENNReal} {μ ν : MeasureTheory.Measure α} {ε : Type u_7}
  [inst : TopologicalSpace ε] [inst_1 : ContinuousENorm ε] (f : α → ε),
  ν ≤ μ → MeasureTheory.eLpNorm f p ν ≤ MeasureTheory.eLpNorm f p μ

Defined in

Mathlib.MeasureTheory.Function.LpSeminorm.Basic

Cited by

13 results in Mathlib

Foundations

Depth 206 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceContinuousENorm