Zero sets of non-negative strictly plurisubharmonic functions

DOI10.1007/BF01359794zbMath0253.32009MaRDI QIDQ2557817

F. Reese Harvey, Raymond O. jun. Wells

Publication date: 1973

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

Full work available at URL: https://eudml.org/doc/162383

Mathematics Subject Classification ID

Pluriharmonic and plurisubharmonic functions (31C10) Plurisubharmonic functions and generalizations (32U05)

Related Items (34)

Noncritical holomorphic functions on Stein manifolds. ⋮ On dense ideals in spaces of analytic functions ⋮ Automorphisms of certain Stein manifolds ⋮ Complex Monge-Ampère equations and totally real submanifolds ⋮ Holomorphic approximation and estimates for the \({\bar \partial}\)-equation on strictly pseudoconvex nonsmooth domains ⋮ Polynomial convexity, rational convexity, and currents ⋮ Dimension of the minimum set for the real and complex Monge-Ampère equations in critical Sobolev spaces ⋮ On rational convexity of totally real sets ⋮ Uniform approximation on totally real sets ⋮ Topology of \(\phi\)-convex domains in calibrated manifolds ⋮ Totally real orbits in affine quotients of reductive groups ⋮ The intersection of the closures of two disjoint strongly pseudoconvex domains ⋮ Holomorphic convexity and Carleman approximation by entire functions on Stein manifolds ⋮ Differential tests for plurisubharmonic functions and Koch curves ⋮ Hulls and positive closed currents ⋮ Global solutions of the homogeneous complex Monge-Ampère equation and complex structures on the tangent bundle of Riemannian manifolds ⋮ Coordinate neighboorhoods of arcs and the approximation of maps into (almost) complex manifolds ⋮ The minimum sets and free boundaries of strictly plurisubharmonic functions ⋮ A characterization of bounded symmetric domains of type IV ⋮ Boundary properties of holomorphic functions of several complex variables ⋮ Local singularities of plurisubharmonic functions ⋮ Geometry of the complex homogeneous Monge-Ampère equation ⋮ Sur le prolongement des courants positifs fermés ⋮ Pluripotential Theory and Monge–Ampère Foliations ⋮ Positivity, complex FIOs, and Toeplitz operators ⋮ Holomorphic mappings between domains with low boundary regularity ⋮ Holomorphic approximation in \(C^ m\)-norms on totally real compact sets in \({\mathbb{C}}^ n\) ⋮ Peak sets in weakly pseudoconvex domains ⋮ Holomorphic functions with highly noncontinuable boundary behavior ⋮ Strict plurisubharmonicity of the energy on Teichmüller space associated to Hitchin representations ⋮ Ensembles pics pour \(A^{\infty}(D)\) non globalement inclus dans une variété integrale ⋮ Geometric invariant theory on Stein spaces ⋮ Stein manifolds with compact symmetric center ⋮ Continuation of positive, closed currents and analytic sets

Cites Work

• Unnamed Item
• Holomorphic approximation and hyperfunction theory on a C\(^1\) totally real submanifold of a complex manifold
• The Lefschetz theorem on hyperplane sections
• The analytic capacity of sets in problems of approximation theory
• Uniform Approximation on Compact Sets in $\mathsf{C}^n$.

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