OAI/Analysis/CircleDomains/Topology/FiniteBallSynthesis.lean

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6 declarations, 0 contain sorry, 0 declared as axioms

The finite ball-synthesis estimate is derived from the published planar maximal inequality, disjoint payment regions, and Cauchy--Schwarz.

  1. def OAI.CircleDomainRigidity.finiteBallDensity line 13
  2. theorem OAI.CircleDomainRigidity.finiteBallDensity_memLp line 16
  3. theorem OAI.CircleDomainRigidity.finiteBallDensity_nonneg line 22
  4. theorem OAI.CircleDomainRigidity.finiteBallDensity_energy_eq line 27
  5. theorem OAI.CircleDomainRigidity.finiteBallDensity_filter_ne_zero line 53
  6. theorem OAI.CircleDomainRigidity.exists_finite_ball_synthesis_constant line 66