OAI/Analysis/LipschitzHilbert/Trees/SourceBoundedDuality.lean

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4 declarations, 0 contain sorry, 0 declared as axioms

Bounded Hilbert-valued tests recover the Lp norm on each finite exhaustion set used in the source interpolation. The canonical test is constructed explicitly and introduces no dimension-dependent constant.

  1. def OAI.LipschitzHilbert.sourceCanonicalDual line 15
  2. theorem OAI.LipschitzHilbert.sourceCanonicalDual_norm line 19
  3. theorem OAI.LipschitzHilbert.sourceCanonicalDual_pairing line 30
  4. theorem OAI.LipschitzHilbert.source_bounded_lp_of_dual_tests line 47