Jujie Wu

activity

20142026

L^{2}

polynomial approximation in

C

2 citations · 5 across the 14 of their papers we have counts for

collaborators

16 papers

math.CV2026

Infinite-Dimensionality of Bergman Spaces on\ Complete $d$ -Bounded Kähler Manifolds

Bo-Yong Chen, Jujie Wu

Let $M$ be a complete Kähler manifold of complex dimension $n \geq 1$ whose Kähler form is $d$ -bounded in the sense of Gromov. We prove that its Bergman space, namely the Hilbert sp…

math.CV2026

Energy asymptotics of holomorphic functions with application to Calderón-Zygmund theory in $C$

Hongrong Chen, Guokuan Shao, Jujie Wu +1

The Calderón-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 $p = 1$ . Wh…

math.CV2026

Boundary zeros of stable polynomials in the unit ball

Dimitrios Vavitsas, Jujie Wu, Konstantinos Zarvalis

We study polynomials in several complex variables that are stable (i.e. they have no zeros in the unit ball $B_{n}$ ), but vanish on the unit sphere along submanifolds of dim…

math.CV2026

Energy estimates for level sets of holomorphic functions and universal counterexamples to Calderón-Zygmund theory

Yifei Pan, Guokuan Shao, Jianfei Wang +1

We demonstrate that the failure of $L^{1}$ regularity in Calderón-Zygmund theory is a universal phenomenon: every non-constant holomorphic function in $\C^n$ generates a counterexamp…

math.CV2026

Riesz $α$ -capacity of Cantor sets and cyclicity in Dirichlet-type spaces

Dimitrios Vavitsas, Jujie Wu, Konstantinos Zarvalis

We examine the threshold of the cyclicity for functions in Dirichlet-type spaces $D_{α}$ , $α \in (0, 1]$ . Given a fixed $α^{*} \in (0, 1]$ , we construct a holomorphic function $f…

math.CV2025

The Grothendieck Theorem in Bergman Spaces

Yutao Liu, Jujie Wu, Yuanpu Xiong

In this paper, we prove that if $E$ is a closed subspace of the holomorphic $L^{p}$ -integrable space and is also contained in the holomorphic $L^{q}$ -integrable space, for any $p > 1$ …

math.CV2024

Equivalence between VMO functions and plurisubharmonic functions with zero Lelong numbers

Séverine Biard, Jujie Wu

We prove that a plurisubharmonic function on a domain in the complex Euclidean space is a locally VMO (Vanishing Mean Oscillation) function if and only if its Lelong number at each…

math.CV2024

Density in weighted Bergman spaces and Bergman completeness of Hartogs domains

Bo-Yong Chen, John Erik Fornæss, Jujie Wu

We study the density of functions which are holomorphic in a neighbourhood of the closure $Ω$ of a bounded non-smooth pseudoconvex domain $Ω$ , in the Bergman space $ H^2(Ω…

math.CV2024

Holomorphic motion, rational approximation and an equivalent formulation of the Riemann Hypothesis

P. M. Gauthier, Jujie Wu

A compact subset $K$ of the complex plane $\C$ is a set of polynomial (respectively rational) approximation if $P (K) = A (K)$ (respectively $R (K) = A (K)$ ), where $P (K)$ (respectively $R…

math.CV2021★ 1 cited

Boundary behavior of the Szegö kernel

Jujie Wu, Xu Xing

We give a Hörmander-type localization principle for the Szegö kernel $S_{Ω} (z)$ . We also show that for each boundary point $z_{0}$ , $S_{Ω} (z) ≳ ∣ z - z_{0} ∣^{- \frac{1}{3}}$ holds non-tang…

math.CV2019

Weighted $L^{2}$ version of Mergelyan and Carleman approximation

Séverine Biard, John Erik Fornæss, Jujie Wu

We study the density of polynomials in $H^{2} (E, φ)$ , the space of square integrable functions with respect to $e^{- φ} d m$ and holomorphic on the interior of $E$ in $C$ , where…

math.CV2018★ 2 cited

Weighted- $L^{2}$ polynomial approximation in $C$

Séverine Biard, John Erik Fornæss, Jujie Wu

We study the density of polynomials in $H^{2} (Ω, e^{- φ})$ , the space of square integrable holomorphic functions in a bounded domain $Ω$ in $C$ , where $φ$ is a subharmonic fun…

math.CV2017★ 1 cited

Weighted approximation in $C$

Jujie Wu, John Erik Fornæss

We prove that if ${φ_{j}}_{j}$ is a sequence of subharmonic functions which are increasing to some subharmonic function $φ$ in $C$ , then the union of all the weighted Hilbe…

math.CV2016

A global approximation result by Al Taylor and the strong openness conjecture in C^n

John Erik Fornæss, Jujie Wu

We improve a global approximation result by Al Taylor in C^n for holomorphic functions in weighted Hilbert spaces. The main tools are a variation of the theorem of Hormander on wei…

math.CV2015★ 1 cited

Poincare Series And Very Ampleness Criterion For Pluri-canonical Bundles

Jujie Wu

Let $X$ be a compact quotient of a bounded domain in $C^{n}$ . Let $K_{X}$ be the canonical line bundle of $X$ . In this paper, we shall introduce the notion of $S$ very amplenes…

math.CV2014

Ohsawa-Takegoshi type theorem and extension of plurisubharmonic functions

Bo-Yong Chen, Jujie Wu, Xu Wang

We prove a Thullen type extension theorem of plurisubharmonic functions across a closed complete pluripolar set, which generalizes a theorem of Siu. Our approach depends on an Ohsa…

Infinite-Dimensionality of Bergman Spaces on\ Complete d-Bounded Kähler Manifolds

Energy asymptotics of holomorphic functions with application to Calderón-Zygmund theory in C

Boundary zeros of stable polynomials in the unit ball

Energy estimates for level sets of holomorphic functions and universal counterexamples to Calderón-Zygmund theory

Riesz α-capacity of Cantor sets and cyclicity in Dirichlet-type spaces

The Grothendieck Theorem in Bergman Spaces

Equivalence between VMO functions and plurisubharmonic functions with zero Lelong numbers

Density in weighted Bergman spaces and Bergman completeness of Hartogs domains

Holomorphic motion, rational approximation and an equivalent formulation of the Riemann Hypothesis

Boundary behavior of the Szegö kernel

Weighted L2 version of Mergelyan and Carleman approximation

Weighted-L2 polynomial approximation in C

Weighted approximation in C

A global approximation result by Al Taylor and the strong openness conjecture in C^n

Poincare Series And Very Ampleness Criterion For Pluri-canonical Bundles

Ohsawa-Takegoshi type theorem and extension of plurisubharmonic functions

Infinite-Dimensionality of Bergman Spaces on\ Complete $d$ -Bounded Kähler Manifolds

Energy asymptotics of holomorphic functions with application to Calderón-Zygmund theory in $C$

Riesz $α$ -capacity of Cantor sets and cyclicity in Dirichlet-type spaces

Weighted $L^{2}$ version of Mergelyan and Carleman approximation

Weighted- $L^{2}$ polynomial approximation in $C$

Weighted approximation in $C$