OAI/NumberTheory/CubicMoment/Estimates/RieszIntegrability.lean

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Integrability of the two Riesz weights used in the cubic dispersion integral.

  1. theorem OAI.CubicFirstMoment.schwartz_riesz_integrable line 15

    Source 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„‚ => ((‖z‖^(-a):ā„):ā„‚)*F z) := by
    …