OAI/Analysis/LipschitzHilbert/Geometry/RectangleAuxiliary.lean

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9 declarations, 0 contain sorry, 0 declared as axioms

The auxiliary maximal operator for the Lacey--Li selection: square averages and finitely many line directions. Every component is an actual average majorant satisfying a uniform weak L1 bound.

  1. def OAI.LipschitzHilbert.chartLineSup line 17
  2. theorem OAI.LipschitzHilbert.chartLineSup_measurable line 20
  3. theorem OAI.LipschitzHilbert.chartLineSup_weak_L1 line 24
  4. def OAI.LipschitzHilbert.planeSquareSup line 41
  5. theorem OAI.LipschitzHilbert.planeSquareSup_measurable line 44
  6. theorem OAI.LipschitzHilbert.planeSquareSup_weak_L1 line 47
  7. def OAI.LipschitzHilbert.rectangleAuxiliary line 64
  8. theorem OAI.LipschitzHilbert.rectangleAuxiliary_measurable line 67
  9. theorem OAI.LipschitzHilbert.rectangleAuxiliary_weak_L1 line 76