Algorithms for subelliptic multipliers in ℂ²

DOI10.1090/proc/15540zbMath1471.32054arXiv2003.00128OpenAlexW3133507363MaRDI QIDQ5002541

Martino Fassina

Publication date: 28 July 2021

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

Full work available at URL: https://arxiv.org/abs/2003.00128

zbMATH Keywords

multiplier idealssubelliptic estimates\(\partial\)-Neumann problem

Mathematics Subject Classification ID

(overlinepartial) and (overlinepartial)-Neumann operators (32W05) Finite-type domains (32T25) CR manifolds as boundaries of domains (32V15) Geometric and analytic invariants on weakly pseudoconvex boundaries (32T27)

Related Items (2)

Relating catlin and D'Angelo \(q\)-types ⋮ Local boundedness of Catlin \(q\)-type

Cites Work

• Effective termination of Kohn's algorithm for subelliptic multipliers
• Necessary conditions for subellipticity of the \({\bar\partial}\)-Neumann problem
• CR structures with group action and extendability of CR functions
• Subelliptic estimates for the \({\bar \partial}\)-Neumann problem on pseudoconvex domains
• Real hypersurfaces, orders of contact, and applications
• Hypoelliptic differential operators and nilpotent groups
• Characterizations of various domains of holomorphy via \(\overline\partial\) estimates and applications to a problem of Kohn
• Subellipticity of the \(\overline\partial\)-Neumann problem on pseudo- convex domains: sufficient conditions
• Jet vanishing orders and effectivity of Kohn's algorithm in dimension 3
• Subelliptic estimates for the \(\bar \partial\)-Neumann problem in C\(^2\)
• New procedure to generate multipliers in complex Neumann problem and effective Kohn algorithm
• Boundary behavior of \(\bar \partial\) on weakly pseudo-convex manifolds of dimension two
• Finite Type and the Effective Nullstellensatz
• Subelliptic Estimates
• Several Complex Variables and the Geometry of Real Hypersurfaces

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