OAI/Analysis/RieszRectifiability/Kernel/OverlapCompatibility.lean

GitHub source file

3 declarations, 0 contain sorry, 0 declared as axioms

Compatibility of local L² representatives

Bounded multipliers preserve L² integrability, and supported weighted tests remove measure restrictions. Common limiting moments then identify local representatives on overlaps where a Lipschitz cutoff is nonzero almost everywhere.

  1. theorem OAI.RieszRectifiability.memLp_bounded_multiplier line 22
  2. theorem OAI.RieszRectifiability.restricted_weighted_test_eq_integral line 30
  3. theorem OAI.RieszRectifiability.local_L2_agreement_from_common_moments line 37