11 papers · 1 filter
Energy asymptotics of holomorphic functions with application to Calderón-Zygmund theory in
Hongrong Chen, Guokuan Shao, Jujie Wu +1
The Calderón-Zygmund theory establishes the boundedness of singular integral operators on spaces for , yet it encounters a failure at the endpoint . Wh…
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 ), but vanish on the unit sphere along submanifolds of dim…
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 counterexamp…
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 $f…
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 …
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…