Theorems · Definition · functional analysis

MeasureTheory.eLpNormLESNormFDerivOfLeConst

(F : Type u_6) →
  [inst : NormedAddCommGroup F] →
    [inst_1 : NormedSpace ℝ F] →
      {E : Type u_7} →
        [inst_2 : NormedAddCommGroup E] →
          [inst_3 : NormedSpace ℝ E] →
            [inst_4 : MeasurableSpace E] →
              [BorelSpace E] →
                [FiniteDimensional ℝ E] →
                  (μ : MeasureTheory.Measure E) →
                    [μ.IsAddHaarMeasure] → [FiniteDimensional ℝ F] → Set E → NNReal → NNReal → NNReal

The constant factor occurring in the conclusion of eLpNorm_le_eLpNorm_fderiv_of_le. It only depends on F, μ, s, p and q.

Defined in

Mathlib.Analysis.FunctionalSpaces.SobolevInequality

Cited by

4 results in Mathlib

Foundations

Depth 287 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedAddCommGroupNormedSpaceNormedAddCommGroupNormedSpaceMeasurableSpaceBorelSpaceFiniteDimensionalMeasureTheory.Measure.IsAddHaarMeasureFiniteDimensional