Zhiwei Wang

activity

20132026

most citedNew characterizations of plurisubharmonic functions and positivity of direct image sheaves

20 citations · 41 across the 22 of their papers we have counts for

collaborators

Showing 2019Show all

4 papers · 1 filter

math.CV2019

Characterizations of plurisubharmonic functions

Fusheng Deng, Jiafu Ning, Zhiwei Wang

We give characterizations of (quasi-)plurisubharmonic functions in terms of $L^{p}$ -estimates of $\partial ˉ$ and $L^{p}$ -extensions of holomorphic functions.

math.CV2019★ 2 cited

Asymptotic estimate of cohomology groups valued in pseudo-effective line bundles

Zhiwei Wang, Xiangyu Zhou

In this paper, we study questions of Demailly and Matsumura on the asymptotic behavior of dimensions of cohomology groups for high tensor powers of (nef) pseudo-effective line bund…

math.CV2019★ 1 cited

CR eigenvalue estimate and Kohn-Rossi cohomology

Zhiwei Wang, Xiangyu Zhou

Let $X$ be a compact connected CR manifold with a transversal CR $S^{1}$ -action of real dimension $2 n - 1$ , which is only assumed to be weakly pseudoconvex. Let $□_{b}$ be the $\overl…

math.CV2019★ 3 cited

Linear invariants of complex manifolds and their plurisubharmonic variations

Fusheng Deng, Zhiwei Wang, Liyou Zhang +1

For a bounded domain $D$ and a real number $p > 0$ , we denote by $A^{p} (D)$ the space of $L^{p}$ integrable holomorphic functions on $D$ , equipped with the $L^{p}$ - pseudonorm. We prove th…