OAI/Geometry/RCD/Transport/RadialTransportWeight.lean

GitHub source file

6 declarations, 0 contain sorry, 0 declared as axioms

The actual annular derivative weight of the transport cutoff

  1. def OAI.RegularPointCoordinates.transportAnnulus line 14
  2. def OAI.RegularPointCoordinates.transportDerivativeWeight line 17
  3. theorem OAI.RegularPointCoordinates.transportDerivativeWeight_bounds line 20
  4. theorem OAI.RegularPointCoordinates.transportAnnulus_measurableSet line 32
  5. theorem OAI.RegularPointCoordinates.transportDerivativeWeight_measurable line 36
  6. theorem OAI.RegularPointCoordinates.radial_transport_cutoff_gamma line 46

    Source documentation

    The exact derivative formula, including the constant inner part and the zero exterior part. The error is the actual radial pairing defect.

    theorem radial_transport_cutoff_gamma (n : ℕ) {R : ℝ} (hR : 0 < R) (z : X)
    (f : SobolevSpace μ hQ) :
    let η := radialPowerTest μ hQ (inwardSobolev μ hQ z (3 * R))
…

    Mentions: OAI.RegularPointCoordinates.SobolevSpace, OAI.RegularPointCoordinates.radialPowerTest, OAI.RegularPointCoordinates.inwardSobolev