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An energy estimate for the complex Monge-Ampère operator

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Publication:4359149
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DOI10.4064/ap-67-1-95-102zbMath0892.32012OpenAlexW981094253MaRDI QIDQ4359149

Leif Persson, Urban Cegrell

Publication date: 7 October 1997

Published in: Annales Polonici Mathematici (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/ap-67-1-95-102

zbMATH Keywords

comparison theoremenergy estimatecomplex Monge-Ampère operator


Mathematics Subject Classification ID

Pluriharmonic and plurisubharmonic functions (31C10) Complex Monge-Ampère operators (32W20) Holomorphic functions of several complex variables (32A99)


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A Dirichlet principle for the complex Monge--Ampère operator, Plurisubharmonic functions and Monge-Ampère operators on complex varieties in bounded domains of \(\mathbb{C}^n\), Convexity of Hessian integrals and Poincaré type inequalities, On a characterization of $m$-subharmonic functions with weak singularities, Measures of finite pluricomplex energy, Pluricomplex energy, Modulability and duality of certain cones in pluripotential theory, On the Moser-Trudinger inequality in complex space, An inequality for the beta function with application to pluripotential theory, On a family of quasimetric spaces in generalized potential theory, Estimates for k-Hessian operator and some applications



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