OAI/Analysis/LipschitzHilbert/Trees/SourceThreeGridPlane.lean

GitHub source file

16 declarations, 0 contain sorry, 0 declared as axioms

Three-grid coordinate majorants on the plane. The construction has uniform bounds both on L² and on bounded functions.

  1. def OAI.LipschitzHilbert.DyadicLineGrid.threeHorizontalMaximal line 12
  2. def OAI.LipschitzHilbert.DyadicLineGrid.threeVerticalMaximal line 15
  3. def OAI.LipschitzHilbert.DyadicLineGrid.threeStrongMaximal line 18
  4. theorem OAI.LipschitzHilbert.DyadicLineGrid.threeHorizontalMaximal_eq_line line 21
  5. theorem OAI.LipschitzHilbert.DyadicLineGrid.threeVerticalMaximal_eq_line line 24
  6. theorem OAI.LipschitzHilbert.DyadicLineGrid.threeHorizontalMaximal_measurable line 27
  7. theorem OAI.LipschitzHilbert.DyadicLineGrid.threeVerticalMaximal_measurable line 31
  8. theorem OAI.LipschitzHilbert.DyadicLineGrid.threeStrongMaximal_measurable line 35
  9. theorem OAI.LipschitzHilbert.DyadicLineGrid.threeHorizontalMaximal_nonneg line 39
  10. theorem OAI.LipschitzHilbert.DyadicLineGrid.threeVerticalMaximal_nonneg line 42
  11. theorem OAI.LipschitzHilbert.DyadicLineGrid.threeStrongMaximal_nonneg line 45
  12. theorem OAI.LipschitzHilbert.DyadicLineGrid.threeHorizontalMaximal_bound line 48
  13. theorem OAI.LipschitzHilbert.DyadicLineGrid.threeVerticalMaximal_bound line 53
  14. theorem OAI.LipschitzHilbert.DyadicLineGrid.threeHorizontalMaximal_energy line 58
  15. theorem OAI.LipschitzHilbert.DyadicLineGrid.threeVerticalMaximal_energy line 77
  16. theorem OAI.LipschitzHilbert.DyadicLineGrid.threeStrongMaximal_energy line 94