OAI/Analysis/LipschitzHilbert/Estimates/MartingaleMaximalL2.lean

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5 declarations, 0 contain sorry, 0 declared as axioms

Doob's scalar finite-horizon L2 estimate, with its exact factor four, for the dyadic averages used in the axis-parallel rectangle count.

  1. def OAI.LipschitzHilbert.finiteMaxSignal line 15
  2. theorem OAI.LipschitzHilbert.finiteMaxSignal_nonneg line 18
  3. theorem OAI.LipschitzHilbert.finiteMaxSignal_measurable line 22
  4. theorem OAI.LipschitzHilbert.finiteMaxSignal_memLp line 28
  5. theorem OAI.LipschitzHilbert.martingale_maximal_L2 line 49