OAI/MeasureTheory/Falconer/Fourier/JetDerivativeBounds.lean

GitHub source file

5 declarations, 0 contain sorry, 0 declared as axioms

Derivative bounds for individual ambient mask jets

These estimates retain the order of each differentiated mask. Evaluation on fixed unit vectors is a contraction, so differentiating a mask jet costs only the corresponding higher derivative of that same mask.

  1. theorem OAI.Falconer.norm_iteratedFDeriv_nested line 16
  2. def OAI.Falconer.jetEvaluation line 27
  3. theorem OAI.Falconer.jetEvaluation_norm_le line 34
  4. theorem OAI.Falconer.norm_iteratedFDeriv_jetValue_le line 44
  5. theorem OAI.Falconer.descriptorJetValue_derivatives line 60