Uniform subelliptic estimates on scaled convex domains of finite type

DOI10.1090/S0002-9939-01-06373-0zbMath0988.32021OpenAlexW1492171799MaRDI QIDQ2750884

Jeffery D. Mcneal

Publication date: 21 October 2001

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-01-06373-0

zbMATH Keywords

plurisubharmonic functionssupport functions\(\bar \partial\)-Neumann problemuniform subelliptic estimates

Mathematics Subject Classification ID

(overlinepartial) and (overlinepartial)-Neumann operators (32W05)

Related Items

Subelliptic estimates from Gromov hyperbolicity ⋮ On compactness of the \(\bar{\partial}\)-Neumann operator on \(r\)-convex domains ⋮ Generalized models and local invariants of Kohn-Nirenberg domains ⋮ A Békollè-Bonami class of weights for certain pseudoconvex domains ⋮ Extremal bases, geometrically separated domains and applications

Cites Work

• Subelliptic estimates for the \({\bar \partial}\)-Neumann problem on pseudoconvex domains
• Convex hypersurfaces and Fourier transforms
• Zero varieties for the Nevanlinna class in convex domains of finite type in \(\mathbb{C}^n\)
• Support functions for convex domains of finite type
• Estimates on the Bergman kernels of convex domains
• The Szegö projection on convex domains
• Sharp estimates for \(\bar\partial\) on convex domains of finite type
• Convex domains of finite type
• Construction of p.s.h. functions on weakly pseudoconvex domains
• Duality theorems for Hardy and Bergman spaces on convex domains of finite type in \({\mathbb{C}}^ n\)

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