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

Sanghyun Cho and Young Hwan You

Abstract and Applied Analysis, 2015, vol. 2015, issue 1

Abstract: Let Ω be a smoothly bounded pseudoconvex domain in Cn with one degenerate eigenvalue and assume that there is a smooth holomorphic curve V whose order of contact with bΩ at z0 ∈ bΩ is larger than or equal to η. We show that the maximal gain in Hölder regularity for solutions of the ∂¯‐equation is at most 1/η.

Date: 2015
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1155/2015/731068

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2015:y:2015:i:1:n:731068

Access Statistics for this article

More articles in Abstract and Applied Analysis from John Wiley & Sons
Bibliographic data for series maintained by Wiley Content Delivery ().