OAI/Geometry/RCD/Transport/RenyiDual.lean

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8 declarations, 0 contain sorry, 0 declared as axioms

The upper semicontinuous dual Rényi functional

All tests in the infimum are bounded and continuous. Measurable bounded tests give the same upper bounds by simultaneous L¹ approximation for the reference measure and the transported measure.

  1. def OAI.RegularPointCoordinates.scaledExpBCF line 19
  2. def OAI.RegularPointCoordinates.renyiDualValue line 28
  3. def OAI.RegularPointCoordinates.renyiDual line 31
  4. theorem OAI.RegularPointCoordinates.upperSemicontinuous_renyiDual line 34
  5. theorem OAI.RegularPointCoordinates.scaled_exp_error line 44
  6. theorem OAI.RegularPointCoordinates.integral_scaled_exp_error line 58
  7. theorem OAI.RegularPointCoordinates.renyiDualValue_error line 86
  8. theorem OAI.RegularPointCoordinates.renyiDualValue_measurable_ge line 110