F. Deng

activity

20132024

most citedPositivity of holomorphic vector bundles in terms of

L^{p}

-conditions of

\partial ˉ

10 citations · 20 across the 11 of their papers we have counts for

collaborators

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10 papers · 1 filter

math.CV2022

Linear isometric invariants of bounded domains

Fusheng Deng, Jiafu Ning, Zhiwei Wang +1

We introduce two new conditions for bounded domains, namely $A^{p}$ -completeness and boundary blow down type, and show that, for two bounded domains $D_{1}$ and $D_{2}$ that are $A^{p}$ -co…

math.CV2020

Characterization of Curvature positivity of Riemannian metrics on flat vector bundles

Fusheng Deng, Xujun Zhang

We give a characterization of Nakano positivity of Riemannian flat vector bundles over bounded domains $D \subset R^{n}$ in terms of solvability of the $d$ equation with certa…

math.CV2020★ 2 cited

Curvature positivity of invariant direct images of Hermitian vector bundles

Fusheng Deng, Jinjin Hu, Weiwen Jiang

We prove that the invariant part, with respect to a compact group action satisfying certain condition, of the direct image of a Nakano positive Hermitian holomorphic vector bundle…

math.CV2020★ 10 cited

Positivity of holomorphic vector bundles in terms of $L^{p}$ -conditions of $\partial ˉ$

Fusheng Deng, Jiafu Ning, Zhiwei Wang +1

We study the positivity properties of Hermitian (or even Finsler) holomorphic vector bundles in terms of $L^{p}$ -estimates of $\partial ˉ$ and $L^{p}$ -extensions of holomorphic objec…

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…

math.CV2018

A new proof of Kiselman's minimum principle for plurisubharmonic functions