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A contact and coefficient correction for Korenblum's constant

Contributed by Ricardo Pinho

Retaining an angular deficit in an annular coefficient estimate gives $C_{68}\ge0.44667$ for Korenblum's constant in the unweighted Bergman space. The flux input is David Niedbala Giraudin's. A contact-moment estimate and an even outer factor retain a correction involving the first two coefficients; a rational measure then satisfies the modified moment conditions. The argument builds on Wang's coefficient approach and Wikström's moment integration. This note is unrefereed, with no independent human review or formalization.

Primarily AI-generated textHuman understanding: some partsBergman spaceKorenblum's maximum principleannular Green functioncontact momentsinterval certificatesouter functions

Oct 31, 2026PDF ↗View work →

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A contact and coefficient correction for Korenblum's constant

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