A new proof of the Newlander-Nirenberg theorem

DOI10.1007/BF01214897zbMath0651.32004MaRDI QIDQ1106361

Sidney M. Webster

Publication date: 1989

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174054

zbMATH Keywords

almost complex structureintegral formulasCauchy-Riemann complexKAM-method

Mathematics Subject Classification ID

Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25)

Related Items

Cartan equivalence problem for 5-dimensional bracket-generating CR manifolds in \(\mathbb C^4\) ⋮ Local Integrability of Mizohata Structures ⋮ Hölder estimates for homotopy operators on strictly pseudoconvex domains with \(C^2\) boundary ⋮ The Newlander-Nirenberg theorem for principal bundles ⋮ \(\overline\partial\)-coherent sheaves on complex manifolds ⋮ Integrability of rough almost complex structures ⋮ The \(\overline{\partial}\)-equation on variable strictly pseudoconvex domains ⋮ Regularity in the local CR embedding problem ⋮ Some aspects of analysis on almost complex manifolds with boundary ⋮ Weighted Sobolev \(L^p\) estimates for homotopy operators on strictly pseudoconvex domains with \(C^2\) boundary ⋮ Common boundary values of holomorphic functions for two-sided complex structures ⋮ A Frobenius-Nirenberg theorem with parameter ⋮ Existence and nonexistence of homotopy formulas for the Mizohata complex ⋮ On the local solution of the tangential Cauchy-Riemann equations ⋮ On the proof of Kuranishi's embedding theorem ⋮ Propagation of regularity for Monge-Ampère exhaustions and Kobayashi metrics ⋮ Sharp regularity for the integrability of elliptic structures ⋮ Plurisubharmonic functions and positive currents of type (1,1) on an almost complex manifold ⋮ Modular data and regularity of Monge-Ampère exhaustions and of Kobayashi distance

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