EXACT HÖLDER ESTIMATES FOR THE SOLUTIONS OF THE $ \bar\partial$-EQUATION

DOI10.1070/IM1971v005n05ABEH001217zbMath0248.35090OpenAlexW1970669765MaRDI QIDQ5662411

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Publication date: 1972

Published in: Mathematics of the USSR-Izvestiya (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im1971v005n05abeh001217

Mathematics Subject Classification ID

Differential forms in global analysis (58A10) Pseudoconvex domains (32T99) (overlinepartial)-Neumann problems and formal complexes in context of PDEs (35N15)

Related Items (9)

Holomorphic approximation and estimates for the \({\bar \partial}\)-equation on strictly pseudoconvex nonsmooth domains ⋮ Hölder estimates on domains of complex dimension two and on three- dimensional CR manifolds ⋮ Tangential Cauchy-Riemann equations on pseudoconvex boundaries of finite and infinite type in \(\mathbb {C}^2\) ⋮ Hölderabschätzungen für Ableitungen von Lösungen der Gleichung \(\bar \partial u = f\) bei streng pseudokonvexem Rand ⋮ Domains with pseudoconvex neighborhood systems ⋮ Hölder and \(L^ p\) estimates for \({\bar \partial}_ b\) on weakly pseudo-convex boundaries in \({\mathbb C}^ 2\) ⋮ Deformation of complex structures, estimates for the (partial d) equation, and stability of the Bergman kernel ⋮ Hölder and \(L^p\) estimates for the \({\bar{\partial }}\)-equation in a class of convex domains of infinite type in \({\mathbb{C}}^n\) ⋮ Hölder and \(L^ p\)-estimates for the \({\bar\partial}\)-equation in some convex domains with real-analytic boundary

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