OAI/Analysis/RieszRectifiability/Rigidity/ReflectionlessFullSupport.lean

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Full intrinsic support of reflectionless measures

Monotone approximation of strict annuli extends the centered annular vector estimate without a boundary-mass assumption. Kernel antisymmetry then puts these bounds in the form needed by the intrinsic full-support criterion. Thus a nonzero reflectionless measure with global upper growth and support-centered lower growth fills its ambient space when the growth exponent equals the ambient dimension.

  1. theorem OAI.RieszRectifiability.reflectionless_strict_annular_vector_bound line 24
  2. theorem OAI.RieszRectifiability.norm_integral_reverse_kernel line 100
  3. theorem OAI.RieszRectifiability.intrinsic_full_support_of_reflectionless line 108