Volume and capacity of sublevel sets of a Lelong class of plurisubharmonic functions
By Ahmed Zeriahi. 2001
104 citations recorded by the source corpus.
Subfields: Applied Mathematics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/bde4571ad1b0381e24ce3af0afacffefc8bddafe
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In Applied Mathematics
- Tam'as Darvas
- Robert J. Berman
- Yanir A. Rubinstein
- Chi Li
- Ahmed Zeriahi
- S. Kołodziej
- Per Åhag
- Xiuxiong Chen
In Geometry and Topology
- Tam'as Darvas
- Robert J. Berman
- Yanir A. Rubinstein
- Chi Li
- Ahmed Zeriahi
- S. Kołodziej
- Per Åhag
- Chinh H. Lu
Citations in the corpus
- Monge–Ampère equations in big cohomology classes (2008, unknown): “X exp ( − 1 νθ ψ ) dV 6Cθ for all θ-psh functions ψ normalized by supX ψ=0 (see [45]).”
- Partial pluricomplex energy and integrability exponents of plurisubharmonic functions (2008, background): “1 Introduction It is well known that estimates on volumes and capacities of sub-level sets of plurisubharmonic functions from various classes as well as integrability theorems for such classes play an important role in many areas of complex analysis (see [20], [22], [26], [27] and references therein”
- Tian's properness conjectures and Finsler geometry of the space of Kahler metrics (2015, methodology): “The second compactness result we recall is an often used version of Zeriahi’s generalization of Skoda’s uniform integrability theorem [67].”
- Geometric pluripotential theory on Kähler manifolds (2019, methodology): “Before we proceed, we recall Zeriahi’s uniform version of the famous Skoda integrability theorem [113]: Theorem 4.”
- A Priori L∞-Estimates for Degenerate Complex Monge–Ampère Equations (2010, unknown): “Vt �1/p′ � Z K”