Theorems · Definition · measure theory

MeasureTheory.UnifTight

{α : Type u_1} →
  {β : Type u_2} →
    {ι : Type u_3} →
      [NormedAddCommGroup β] → {x : MeasurableSpace α} → (ι → α → β) → ENNReal → MeasureTheory.Measure α → Prop

A sequence of functions f is uniformly tight in L^p if for all ε > 0, there exists some measurable set s with finite measure such that the Lp-norm of f i restricted to sᶜ is smaller than ε for all i.

Defined in

Mathlib.MeasureTheory.Function.UnifTight

Cited by

15 results in Mathlib

Foundations

Depth 202 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedAddCommGroup