OAI/Analysis/RieszRectifiability/Kernel/FiniteStepLp.lean

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6 declarations, 0 contain sorry, 0 declared as axioms

Finite-step functions in L²

Finite-step functions on finite measures belong to L². Products are represented on intersections of cells, expressing squared distances through cell masses and mixed moments.

  1. theorem OAI.RieszRectifiability.finiteStep_memLp line 21
  2. theorem OAI.RieszRectifiability.finiteStep_mul line 28
  3. theorem OAI.RieszRectifiability.integral_finiteStep_mul line 43
  4. theorem OAI.RieszRectifiability.toLp_norm_sq_eq_integral line 55
  5. theorem OAI.RieszRectifiability.toLp_dist_sq_eq_integral line 62
  6. theorem OAI.RieszRectifiability.finiteStep_cross_distance_tendsto line 71