OAI/MeasureTheory/Falconer/Slicing/HyperplaneSliceEnergy.lean

GitHub source file

11 declarations, 0 contain sorry, 0 declared as axioms

A measurable majorant for the actual Fourier energy on each hyperplane.

  1. def OAI.Falconer.hyperplaneFourierWeight line 13
  2. theorem OAI.Falconer.hyperplaneFourierWeight_continuous line 17
  3. def OAI.Falconer.hyperplaneFourierEnergy line 26
  4. def OAI.Falconer.hyperplaneEnergyMajorant line 30
  5. theorem OAI.Falconer.hyperplaneEnergyMajorant_measurable line 34
  6. theorem OAI.Falconer.hyperplaneFourierEnergy_le_majorant line 39
  7. theorem OAI.Falconer.hyperplaneSliceEmbedding_norm line 44
  8. theorem OAI.Falconer.hyperplaneFourierEnergy_formula line 50
  9. theorem OAI.Falconer.hyperplaneFourierWeight_ambient line 56
  10. theorem OAI.Falconer.hyperplaneEnergyMajorant_integral_bound line 72
  11. theorem OAI.Falconer.hyperplaneEnergyMajorant_integrable line 89