Author

Jujie Wu

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Preprint Oct 2026

Infinite-Dimensionality of Bergman Spaces on\ Complete $d$-Bounded K\"ahler Manifolds

Let $M$ be a complete K\"ahler manifold of complex dimension $n\geq 1$ whose K\"ahler form is $d$-bounded in the sense of Gromov. We prove that its Bergman space, namely the Hilbert space of $L^2$ holomorphic $n$-forms, is infinite-dimensional. The proof combines Gromov's construction of auxiliary holomorphic line bund...

Bo-Yong Chen, Ju-Jie Wu · 0 citations

Preprint Sep 2026

Energy asymptotics of holomorphic functions with application to Calder\'{o}n-Zygmund theory in $\mathbb{C}$

The Calder\'on-Zygmund theory establishes the boundedness of singular integral operators on $L^p$ spaces for $1<p<\infty$, yet it encounters a failure at the endpoint $p = 1$. While radial counterexamples in $\mathbb{R}^n$ are well-documented, Pan-Shao-Wang-Wu \cite{psww2026} has showed that every nonconstant holomorph...

Hong-Rong Chen, Guo-Kuan Shao, Ju-Jie Wu et al. · 0 citations

Preprint Jul 2026

Boundary zeros of stable polynomials in the unit ball

Interpolation theory in the unit ball and semi-algebraic geometry yield explicit descriptions of the boundary zeros of stable polynomials. Given a polynomial $p\in \mathbb{C}[z_1, ...,z_n]$ that is zero-free in the unit ball and vanishes on the sphere along submanifolds of dimension at most one, we describe the boundar...

Dimitrios Vavitsas, Jujie Wu, Konstantinos Zarvalis · 0 citations