OAI/Analysis/LipschitzHilbert/Fourier/LineDerivativeCommutatorL2.lean

GitHub source file

9 declarations, 0 contain sorry, 0 declared as axioms

The differentiated Lipschitz commutator has its actual bounded L2 extension, with the uniform constant proved by dyadic decomposition.

  1. def OAI.LipschitzHilbert.PacketRepresentation.lineCommutatorNormConstant line 12
  2. theorem OAI.LipschitzHilbert.PacketRepresentation.lineCommutatorNormConstant_nonneg line 14
  3. theorem OAI.LipschitzHilbert.PacketRepresentation.lineCommutatorNormConstant_sq line 16
  4. def OAI.LipschitzHilbert.PacketRepresentation.lineDerivativeCommutatorToL2 line 19
  5. theorem OAI.LipschitzHilbert.PacketRepresentation.lineDerivativeCommutatorToL2_apply line 23
  6. theorem OAI.LipschitzHilbert.PacketRepresentation.lineDerivativeCommutatorToL2_bound line 28
  7. def OAI.LipschitzHilbert.PacketRepresentation.lineDerivativeCommutatorL2 line 42
  8. theorem OAI.LipschitzHilbert.PacketRepresentation.lineDerivativeCommutatorL2_onSchwartz line 46
  9. theorem OAI.LipschitzHilbert.PacketRepresentation.lineDerivativeCommutatorL2_bound line 58