Theorems · Definition · functional analysis
MeasureTheory.Measure.integrablePower
{E : Type u_5} → [NormedAddCommGroup E] → [inst : MeasurableSpace E] → MeasureTheory.Measure E → ℕAn integer exponent l such that (1 + ‖x‖) ^ (-l) is integrable if μ has
temperate growth.
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 194 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- NormedAddCommGroupstatement and proof · cited by 15,752
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- MeasureTheory.Measure.HasTemperateGrowthproof · cited by 41
- MeasureTheory.Measure.HasTemperateGrowth.exists_integrableproof · cited by 2
Cited by5
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.integrable_pow_neg_integrablePowerstatement · cited by 2
- SchwartzMap.integrable_pow_mul_iteratedFDerivproof · cited by 1
- integral_pow_mul_le_of_le_of_pow_mul_lestatement and proof · cited by 1
- integrable_of_le_of_pow_mul_lestatement and proof · cited by 1
- SchwartzMap.integral_pow_mul_iteratedFDeriv_lestatement and proof · cited by 0