ω-pluripolar sets and subextension of ω-plurisubharmonic functions on compact Kähler manifolds

• Autorzy: Le Mau Hai , Nguyen Van Khue , Pham Hoang Hiep
• Języki publikacji: EN

Abstrakty

EN

We establish some results on ω-pluripolarity and complete ω-pluripolarity for sets in a compact Kähler manifold X with fundamental form ω. Moreover, we study subextension of ω-psh functions on a hyperconvex domain in X and prove a comparison principle for the class 𝓔(X,ω) recently introduced and investigated by Guedj-Zeriahi.

Kategorie tematyczne

• 32W20: Complex Monge-Amp\`ere operators
• 32Q15: K\"ahler manifolds

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2007
• Tom: 91
• Numer: 1
• Strony: 25-41

Daty

wydano

2007

Twórcy

autor

Le Mau Hai

• Department of Mathematics, Hanoi University of Education (Dai hoc Su Pham Hanoi), Tuliem, Ha Noi, Vietnam

autor

Nguyen Van Khue

• Department of Mathematics, Hanoi University of Education (Dai hoc Su Pham Hanoi), Tuliem, Ha Noi, Vietnam

autor

Pham Hoang Hiep

• Department of Mathematics, Hanoi University of Education (Dai hoc Su Pham Hanoi), Tuliem, Ha Noi, Vietnam

Identyfikatory

DOI

10.4064/ap91-1-3