OAI/Analysis/LipschitzHilbert/Fourier/LineBoundedCommutatorL2.lean

GitHub source file

8 declarations, 0 contain sorry, 0 declared as axioms

For a fixed bounded Schwartz coefficient the undifferentiated commutator is an actual bounded L2 map. This identifies the limits of the differentiated frequency approximations.

  1. def OAI.LipschitzHilbert.PacketRepresentation.lineProductLM line 13
  2. theorem OAI.LipschitzHilbert.PacketRepresentation.lineProductLM_apply line 16
  3. def OAI.LipschitzHilbert.PacketRepresentation.lineCommutatorLM line 22
  4. theorem OAI.LipschitzHilbert.PacketRepresentation.lineCommutatorLM_apply line 26
  5. def OAI.LipschitzHilbert.PacketRepresentation.lineCommutatorToL2 line 32
  6. theorem OAI.LipschitzHilbert.PacketRepresentation.lineCommutatorToL2_bound line 36
  7. def OAI.LipschitzHilbert.PacketRepresentation.lineCommutatorL2 line 52
  8. theorem OAI.LipschitzHilbert.PacketRepresentation.lineCommutatorL2_onSchwartz line 56