An inequality for mixed Monge-Ampère measures

DOI10.1007/s00209-008-0356-zzbMath1169.32007arXiv0705.0974OpenAlexW2029589954MaRDI QIDQ1014223

Sławomir Dinew

Publication date: 27 April 2009

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

Full work available at URL: https://arxiv.org/abs/0705.0974

zbMATH Keywords

plurisubharmonic functionscomplex Monge-Ampère operator

Mathematics Subject Classification ID

Pluriharmonic and plurisubharmonic functions (31C10) Complex Monge-Ampère operators (32W20) Plurisubharmonic functions and generalizations (32U05)

Related Items (18)

Monotonicity of nonpluripolar products and complex Monge-Ampère equations with prescribed singularity ⋮ Hölder continuity of solutions to the Monge-Ampère equations on compact Kähler manifolds ⋮ Solutions to degenerate complex Hessian equations ⋮ The complex Monge-Ampère type equation on compact Hermitian manifolds and applications ⋮ Monge-Ampère equations in big cohomology classes ⋮ The eigenvalue problem for the complex Monge-Ampère operator ⋮ Subsolution theorem and the Dirichlet problem for the quaternionic Monge-Ampère equation ⋮ Log-concavity of volume and complex Monge-Ampère equations with prescribed singularity ⋮ Stability and regularity of solutions of the Monge-Ampère equation on Hermitian manifolds ⋮ The minimum sets and free boundaries of strictly plurisubharmonic functions ⋮ Viscosity solutions to degenerate complex monge-ampère equations ⋮ Pluripotential Kähler-Ricci flows ⋮ On stability and continuity of bounded solutions of degenerate complex Monge-Ampère equations over compact Kähler manifolds ⋮ Uniqueness in \(\mathcal E(X,\omega)\) ⋮ Pluripotential Monge-Ampère flows in big cohomology classes ⋮ Weak subsolutions to complex Monge-Ampère equations ⋮ Mixed Hessian inequalities and uniqueness in the class \(\mathcal {E}(X,\omega ,m)\) ⋮ Stability and Hölder regularity of solutions to complex Monge-Ampère equations on compact Hermitian manifolds

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