Uniform estimates for the ∂̄-equation on intersections of strictly pseudoconvex domains

DOI10.1090/S0002-9904-1972-13003-9zbMath0254.32020MaRDI QIDQ5669068

R. Michael Range, Yum-Tong Siu

Publication date: 1972

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

Mathematics Subject Classification ID

Analytic sheaves and cohomology groups (32C35) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25) Pseudoconvex domains (32T99) (overlinepartial)-Neumann problems and formal complexes in context of PDEs (35N15)

Related Items

Sharp pointwise and uniform estimates for \(\bar{\partial} \) ⋮ Uniform estimates for the \(\bar\partial\)-equation on domains with piecewise smooth strictly pseudoconvex boundaries

Cites Work

• Differentiable manifolds in complex Euclidean space
• Ein Divisionsproblem und Randintegraldarstellungen in der komplexen Analysis
• Die Cauchy-Riemannschen Differentialgleichungen auf streng pseudokonvexen Gebieten. Beschränkte Lösungen
• The Cauchy integral for differential forms
• Hölder and L^p estimates for solutions of ∂u = f in strongly pseudoconvex domains
• Local moduli for complex analytic vector bundles
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