Some Weighted Energy Classes of Plurisubharmonic Functions

Some Weighted Energy Classes of Plurisubharmonic Functions

In this paper we study relations between the weighted energy class introduced by S. Benelkourchi, V. Guedj and A. Zeriahi recently with Cegrell’s classes and . Next we establish a generalized comparison principle for the operator M χ . As an application, we prove a version of existence of solutions...

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Veröffentlicht in:Potential analysis 2011, Vol.34 (1), p.43-56
Hauptverfasser: Hai, Le Mau, Hiep, Pham Hoang
Format: Artikel
Sprache:eng
Schlagworte:
Functional Analysis
Geometry
Mathematics
Mathematics and Statistics
Potential Theory
Probability Theory and Stochastic Processes
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Zusammenfassung:In this paper we study relations between the weighted energy class introduced by S. Benelkourchi, V. Guedj and A. Zeriahi recently with Cegrell’s classes and . Next we establish a generalized comparison principle for the operator M χ . As an application, we prove a version of existence of solutions of Monge–Ampère type equations in the class .
ISSN:0926-2601
1572-929X
DOI:10.1007/s11118-010-9179-8