OAI/Analysis/RieszRectifiability/Kernel/CommonHeightLocalIntegrability.lean

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Intrinsic local integrability of common heights

Square integrability on bounded projection regions implies integrability on every plane ball, since the coordinate-plane measure has finite mass there. Pulling these ball restrictions back along an affine isometric parametrization gives local integrability of the intrinsic height function on Euclidean space.

  1. theorem OAI.RieszRectifiability.locallyIntegrable_of_integrableOn_origin_balls line 23
  2. theorem OAI.RieszRectifiability.common_height_intrinsic_locallyIntegrable line 31