OAI/Analysis/RieszRectifiability/Foundations/NormalizedSetIndicators.lean

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9 declarations, 0 contain sorry, 0 declared as axioms

Normalized indicators weight a measurable set by the reciprocal of its real mass. Finite set mass gives integrability and L² membership for these averaging functions.

  1. def OAI.RieszRectifiability.normalizedSetIndicator line 20
  2. theorem OAI.RieszRectifiability.normalizedSetIndicator_of_mem line 23
  3. theorem OAI.RieszRectifiability.normalizedSetIndicator_of_notMem line 26
  4. theorem OAI.RieszRectifiability.normalizedSetIndicator_memLp line 29
  5. theorem OAI.RieszRectifiability.normalizedSetIndicator_integrable line 34
  6. theorem OAI.RieszRectifiability.normalizedSetIndicator_integral line 38
  7. theorem OAI.RieszRectifiability.normalizedSetIndicator_pairing line 44
  8. theorem OAI.RieszRectifiability.normalizedSetIndicator_sq_integral line 54
  9. theorem OAI.RieszRectifiability.normalizedSetIndicator_nested_product_integral line 64