SOBOLEV ESTIMATES OF SOLUTIONS OF THE $\bar{\partial}$-NEUMANN PROBLEM ON PARAMETERS

DOI10.1142/S0129167X02001587zbMath1109.32302OpenAlexW2273002814MaRDI QIDQ4807387

Sang-Hyun Cho

Publication date: 18 May 2003

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x02001587

zbMATH Keywords

Cauchy-Riemann equations. Sobolev spaces

Mathematics Subject Classification ID

(overlinepartial) and (overlinepartial)-Neumann operators (32W05) (overlinepartial)-Neumann problems and formal complexes in context of PDEs (35N15)

Related Items

Local extension of boundary holomorphic forms on real hypersurfaces in \(\mathbb C^{n}\) ⋮ Positive factorizations of pseudoperiodic homeomorphisms

Cites Work

• Extension of complex structures on weakly pseudoconvex compact complex manifolds with boundary
• Sufficient conditions for the extension of CR structures
• A lower bound on the Kobayashi metric near a point of finite type in \(\mathbb{C} ^ n\)
• Deformation of complex structures, estimates for the (partial d) equation, and stability of the Bergman kernel
• \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
• STABILITY OF THE ESTIMATES FOR ∂-EQUATION ON COMPACT PSEUDOCONVEX COMPLEX MANIFOLDS
• A construction of peak functions on locally convex domains in Cⁿ

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