On sharp Hölder estimates of the Cauchy-Riemann equation on pseudoconvex domains in \(\mathbb{C}^n\) with one degenerate eigenvalue

DOI10.1155/2015/731068zbMath1351.32070OpenAlexW2175792349WikidataQ59101415 ScholiaQ59101415MaRDI QIDQ304938

Young Hwan You, Sang-Hyun Cho

Publication date: 26 August 2016

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2015/731068

zbMATH Keywords

Hölder estimates for the \(\overline\partial\)-problemsmooth pseudoconvex domains

Mathematics Subject Classification ID

(overlinepartial) and (overlinepartial)-Neumann operators (32W05) Pseudoconvex domains (32T99)

Related Items

Finite type conditions on real hypersurfaces with one degenerate eigenvalue ⋮ Regular multi-types on some pseudoconvex hypersurfaces ⋮ Unnamed Item

Cites Work

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• Boundary invariants of pseudoconvex domains
• Estimates of invariant metrics on pseudoconvex domains of dimension two
• Extension of complex structures on weakly pseudoconvex compact complex manifolds with boundary
• Characterizations of various domains of holomorphy via \(\overline\partial\) estimates and applications to a problem of Kohn
• Boundary Behavior of the Bergman Kernel Function on some Pseudoconvex Domains in ℂ n
• A Remark on hölder smoothing and subellipticity of the ∂-neumann operator
• Hölder and L^p estimates for solutions of ∂u = f in strongly pseudoconvex domains

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