OAI/Analysis/LipschitzHilbert/Estimates/DyadicSquareWeakL1.lean

GitHub source file

10 declarations, 0 contain sorry, 0 declared as axioms

All-scale square averages in a fixed pair of dyadic grids.

  1. abbrev OAI.LipschitzHilbert.DyadicLineGrid.SquareIndex line 13
  2. def OAI.LipschitzHilbert.DyadicLineGrid.squareCell line 15
  3. theorem OAI.LipschitzHilbert.DyadicLineGrid.squareCell_measurable line 18
  4. theorem OAI.LipschitzHilbert.DyadicLineGrid.cell_volume line 22
  5. theorem OAI.LipschitzHilbert.DyadicLineGrid.squareCell_volume line 26
  6. theorem OAI.LipschitzHilbert.DyadicLineGrid.squareCell_ranked line 32
  7. def OAI.LipschitzHilbert.DyadicLineGrid.gridSquareSup line 40
  8. theorem OAI.LipschitzHilbert.DyadicLineGrid.gridSquareSup_measurable line 45
  9. theorem OAI.LipschitzHilbert.DyadicLineGrid.square_average_le_gridSquareSup line 49
  10. theorem OAI.LipschitzHilbert.DyadicLineGrid.gridSquareSup_weak_L1 line 61