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

DOI10.1016/j.jmaa.2010.02.047zbMath1196.32004OpenAlexW2040738700MaRDI QIDQ972472

Jisoo Byun, Hong Rae Cho, Jong-Do Park

Publication date: 19 May 2010

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.02.047

zbMATH Keywords

Bergman projectionconvex domain of finite typeweighted growth spacesweighted Lipschitz estimates for \(\bar {\partial }\)

Mathematics Subject Classification ID

(overlinepartial) and (overlinepartial)-Neumann operators (32W05) Finite-type domains (32T25) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25)

Cites Work

• Subelliptic estimates for the \({\bar \partial}\)-Neumann problem on pseudoconvex domains
• Boundary behavior of the Bergman kernel function in \({\mathbb{C}}^ 2\)
• Henkin-Ramirez kernels with weight factors
• Support functions for convex domains of finite type
• Hölder estimates on convex domains of finite type
• Mapping properties of the Bergman projection on convex domains of finite type
• Estimates on the Bergman kernels of convex domains
• Optimal Sobolev estimates for \(\bar\partial\) on convex domains of finite type
• Sharp estimates for \(\bar\partial\) on convex domains of finite type
• Hölder and \(L^p\) estimates for \(\overline {\partial}\) on convex domains of finite type depending on Catlin's multitype
• Lineally convex domains of finite type: holomorphic support functions
• Factorization of Hardy spaces and Hankel operators on convex domains in \(\mathbb C^ n\).
• \(C^k\) estimates for convex domains of finite type in \(\mathbb{C}^n\)
• Extremal bases and Hölder estimates for \(\overline\partial\) on convex domains of finite type
• Embedding of Hardy spaces into weighted Bergman spaces in bounded domains with \(C^2\) boundary
• Hölder type estimates for the \(\partial \)-equation in strongly pseudoconvex domains
• Zero varieties for the Nevanlinna class on all convex domains of finite type
• Growth Spaces and Growth Norm Estimates for on Convex Domains of Finite Type
• On the zeros of Bloch functions
• \(L^p\) estimates on convex domains of finite type
• Hölder regularity for \(\overline\partial\) on the convex domains of finite strict type.
• Unnamed Item
• Unnamed Item