On Sharp Hölder Estimates of the Cauchy-Riemann Equation on Pseudoconvex Domains in with One Degenerate Eigenvalue

Sanghyun Cho and Young Hwan You

Abstract and Applied Analysis, 2015, vol. 2015, 1-6

Abstract:

Let be a smoothly bounded pseudoconvex domain in with one degenerate eigenvalue and assume that there is a smooth holomorphic curve whose order of contact with at is larger than or equal to . We show that the maximal gain in Hölder regularity for solutions of the -equation is at most .

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:731068

DOI: 10.1155/2015/731068

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