Radially symmetric plurisubharmonic functions

• Autorzy: Per Åhag , Rafał Czyż , Leif Persson
• Języki publikacji: EN

Abstrakty

EN

In this note we consider radially symmetric plurisubharmonic functions and the complex Monge-Ampère operator. We prove among other things a complete characterization of unitary invariant measures for which there exists a solution of the complex Monge-Ampère equation in the set of radially symmetric plurisubharmonic functions. Furthermore, we prove in contrast to the general case that the complex Monge-Ampère operator is continuous on the set of radially symmetric plurisubharmonic functions. Finally we characterize radially symmetric plurisubharmonic functions among the subharmonic ones using merely the laplacian.

Kategorie tematyczne

• 32W20: Complex Monge-Amp\`ere operators
• 31B05: Harmonic, subharmonic, superharmonic functions
• 32U05: Plurisubharmonic functions and generalizations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2012
• Tom: 106
• Numer: 1
• Strony: 1-17

Daty

wydano

2012

Twórcy

autor

Per Åhag

• Department of Mathematics, and Mathematical Statistics, Umeå University, SE-901 87 Umeå, Sweden

autor

Rafał Czyż

• Faculty of Mathematics, and Computer Science, Jagiellonian University, Łojasiewicza 6, 30-348 Kraków, Poland

autor

Leif Persson

• Department of Mathematics and Mathematical Statistics, Umeå University, SE-901 87 Umeå, Sweden

Identyfikatory

DOI

10.4064/ap106-0-1