Guokuan Shao

activity

20152026

most cited

S^{1}

-equivariant Index theorems and Morse inequalities on complex manifolds with boundary

7 citations · 11 across the 14 of their papers we have counts for

collaborators

Showing 2026 · math.CVShow all

3 papers · 2 filters

math.CV2026

Unique continuation property for $\partial ˉ$ with $L^{2 n}$ potentials

Guokuan Shao, Ziming Shi, Jujie Wu

We establish the sharp unique continuation property for the Cauchy--Riemann operator $\partial ˉ$ in higher dimensions. Let $0\inΩ\subset \C^n$ be a domain. Suppose $u \in W_{\…

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

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…

Unique continuation property for ∂ˉ with L2n potentials

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

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

Unique continuation property for $\partial ˉ$ with $L^{2 n}$ potentials

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