Weak convergence of Monge-Ampere measures on compact Hermitian manifolds

Người báo cáo: Nguyễn Ngọc Cường (KAIST)

Thời gian: 9h30 ngày 26/08/2025

Địa điểm: Phòng 508, nhà A6, Viện Toán học

Tóm tắt: We give a sufficient condition on a sequence of uniformly bounded $omega$-plurisubharmonic functions,$ omega$ being a Hermitian metric, for which the sequence of associated Monge-Amp`ere measures converges weakly. This criterion can be used to obtain a bounded $omega$ - plurisubharmonic solution to the Monge-Amp`ere equation. This is joint work with S. Kolodziej.

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Xuất bản mới
Le Thi Hong Hanh, Dương Trọng Luyện, Nguyễn Minh Trí, Nontrivial Solutions to Boundary Value Problems for Semilinear $\Delta ^{\alpha ,\beta }_{\alpha _1,\beta _1}$-Differential Equations, Analysis and PDE in Developing Countries, Trends in Mathematics (TM, volume 17) (2026) pp 27–35, Birkhäuser/Springer, Cham, 2026 ISBN: 978-3-032-14210-8; 978-3-032-14211-5
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