OAI/NumberTheory/CubicMoment/Estimates/RieszIntegrability.lean
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Integrability of the two Riesz weights used in the cubic dispersion integral.
- theorem
OAI.CubicFirstMoment.schwartz_riesz_integrableline 15Source documentation
The singularity is locally integrable in dimension two; away from zero the weight is bounded and Schwartz integrability suffices.
theorem schwartz_riesz_integrable (F : š¢(ā,ā)) {a : ā} (ha : 0 < a) (ha2 : a < 2) : Integrable (fun z : ā => ((āzā^(-a):ā):ā)*F z) := by ā¦