OAI/Analysis/RieszRectifiability/Kernel/NormalAnnularKernel.lean

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Normal components of annular kernel integrals

Away from the origin the Riesz kernel is integrable on bounded annuli. For measures supported in a nonnegative half-space, its normal component equals the positive normal potential, so vector integral bounds control the scalar potential integral.

  1. theorem OAI.RieszRectifiability.rieszKernel_integrableOn_centered_annulus line 20
  2. theorem OAI.RieszRectifiability.positiveNormalPotential_eq_kernel_component line 35
  3. theorem OAI.RieszRectifiability.positiveNormalPotential_annulus_integral_eq line 42
  4. theorem OAI.RieszRectifiability.positiveNormalPotential_bound_of_vector_annulus_bound line 55