OAI/Analysis/CircleDomains/Sobolev/RealCoordinateLines.lean

GitHub source file

11 declarations, 0 contain sorry, 0 declared as axioms

Product and complex coordinates of the physical line families.

  1. def OAI.CircleDomainRigidity.realCoordinateLine line 12
  2. theorem OAI.CircleDomainRigidity.realCoordinateLine_contDiff line 15
  3. theorem OAI.CircleDomainRigidity.realCoordinateLine_physical line 20
  4. theorem OAI.CircleDomainRigidity.realCoordinatePlane_measurePreserving line 25
  5. theorem OAI.CircleDomainRigidity.ae_ae_realCoordinateLine line 34
  6. theorem OAI.CircleDomainRigidity.memLp_realCoordinateLine_ae line 39
  7. theorem OAI.CircleDomainRigidity.realCoordinateLine_deriv line 46
  8. theorem OAI.CircleDomainRigidity.realCoordinateLine_abs_deriv_le line 58
  9. def OAI.CircleDomainRigidity.complexCoordinateLine line 65
  10. def OAI.CircleDomainRigidity.transverseCoordinate line 68
  11. theorem OAI.CircleDomainRigidity.complexCoordinateLine_transverse_le line 71