Dirichlet-like space and capacity in complex analysis in several variables
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Publication:2461239
DOI10.1016/J.JFA.2007.06.007zbMath1130.32017arXiv0705.3164OpenAlexW1497825341MaRDI QIDQ2461239
Publication date: 27 November 2007
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0705.3164
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Dirichlet forms (31C25) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37) General pluripotential theory (32U15)
Related Items (8)
Moser-Trudinger inequalities and complex Monge-Ampère equation ⋮ The complex Sobolev space and Hölder continuous solutions to Monge–Ampère equations ⋮ Random walks on \(\mathrm{SL}_2({\mathbb{C}})\): spectral gap and limit theorems ⋮ Dynamics of holomorphic correspondences on Riemann surfaces ⋮ Existence of Lelong numbers of positive plurisuperharmonic currents ⋮ Density of positive closed currents, a theory of non-generic intersections ⋮ Exponential decay of correlations for generic regular birational maps of \(\mathbb P^k\) ⋮ Equilibrium measures of meromorphic self-maps on non-Kähler manifolds
Cites Work
- On conformal martingale diffusions and pluripolar sets
- A new capacity for plurisubharmonic functions
- Intrinsic capacities on compact Kähler manifolds
- Comparison of two capacities in \({\mathbb{C}}^ n\)
- On Dirichlet forms for plurisubharmonic functions
- Espaces de Dirichlet généraux en analyse complexe
- Analyticity of sets associated to Lelong numbers and the extension of closed positive currents
- Distribution of the values of meromorphic transformations and applications
- Theory of capacities
- Regularization of currents and entropy
- On functions of bounded mean oscillation
- Weakly Differentiable Functions
- Decay of correlations and the central limit theorem for meromorphic maps
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