OAI/Analysis/Crouzeix/PoissonExtension.lean

GitHub source file

15 declarations, 0 contain sorry, 0 declared as axioms

Poisson Extension.

  1. def OAI.CrouzeixHilbert.Conformal.poissonExtension line 15
  2. def OAI.CrouzeixHilbert.Conformal.schwarzExtension line 18
  3. theorem OAI.CrouzeixHilbert.Conformal.schwarzExtension_re line 21
  4. theorem OAI.CrouzeixHilbert.Conformal.analyticOnNhd_schwarzExtension line 29
  5. theorem OAI.CrouzeixHilbert.Conformal.harmonicOnNhd_poissonExtension line 37
  6. theorem OAI.CrouzeixHilbert.Conformal.poissonKernel_nonneg line 45
  7. theorem OAI.CrouzeixHilbert.Conformal.continuousOn_poissonKernel line 53
  8. theorem OAI.CrouzeixHilbert.Conformal.circleAverage_poissonKernel line 60
  9. theorem OAI.CrouzeixHilbert.Conformal.tendsto_poissonExtension_at_sphere line 65
  10. def OAI.CrouzeixHilbert.Conformal.dirichletExtension line 150
  11. theorem OAI.CrouzeixHilbert.Conformal.dirichletExtension_eq_on_sphere line 153
  12. theorem OAI.CrouzeixHilbert.Conformal.dirichletExtension_eventuallyEq line 158
  13. theorem OAI.CrouzeixHilbert.Conformal.harmonicContOnCl_dirichletExtension line 163
  14. theorem OAI.CrouzeixHilbert.Conformal.circleAverage_comp_conj line 184
  15. theorem OAI.CrouzeixHilbert.Conformal.poissonExtension_conj line 195