Convergence in $(\omega,m)$-capacity in the class $\mathcal{E}(X, \omega,m)$ on compact K\"ahler manifolds

Le Mau Hai; Nguyen Van Phu

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arXiv · 2603.26392

Convergence in $(\omega,m)$-capacity in the class $\mathcal{E}(X, \omega,m)$ on compact K\"ahler manifolds

Le Mau Hai·Nguyen Van Phu

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Abstract

In this paper, we establish the weak*-convergence of a sequence of the complex Hessian measures $H_m(u_j)$ to the complex Hessian measure $H_m(u)$ in the class $\mathcal{E}(X,\omega,m)$ under hypotheses that $u_j$ is convergent to $u$ in $(\omega,m)$-capacity.

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BibTeX RIS

Le Mau Hai, Nguyen Van Phu. 2026-03-27. Convergence in $(\omega,m)$-capacity in the class $\mathcal{E}(X, \omega,m)$ on compact K\"ahler manifolds. https://arxiv.org/abs/2603.26392

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