Optimal Sobolev estimates for \(\bar\partial\) on convex domains of finite type

DOI10.1007/S00209-003-0525-ZzbMath1058.32026OpenAlexW2012258567MaRDI QIDQ1407801

Hong Rae Cho, HeungJu Ahn

Publication date: 21 September 2003

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-003-0525-z

zbMATH Keywords

convex domainsSobolev estimates\(\overline\partial\)-operators

Mathematics Subject Classification ID

Integral representations, constructed kernels (e.g., Cauchy, Fantappiè-type kernels) (32A26) (overlinepartial) and (overlinepartial)-Neumann operators (32W05) Finite-type domains (32T25) Finite-type conditions for the boundary of a domain (32F18)

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Weighted Lipschitz estimates for \(\bar {\partial }\) on convex domains of finite type

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