7 papers
Boundary zeros of stable polynomials in the unit ball
Dimitrios Vavitsas, Jujie Wu, Konstantinos Zarvalis
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,…
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 regularity in Calderón-Zygmund theory is a universal phenomenon: every non-constant holomorphic function in $\C^n$ generates a counterexam…
Families of symplectic Galois representations over small parabolic eigenvarieties for Siegel cuspforms of genus
Muhammad Manji, Frederick E. Thøgersen, Ju-Feng Wu
We construct small parabolic eigenvarieties for holomorphic Siegel cuspforms of genus and study families of Galois representations attached to them in the spirit of Bellaïche-…
Riesz -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 , . Given a fixed , we construct a holomorphic function…
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…
The Grothendieck Theorem in Bergman Spaces
Yutao Liu, Jujie Wu, Yuanpu Xiong
In this paper, we prove that if is a closed subspace of the holomorphic -integrable space and is also contained in the holomorphic -integrable space, for any …