2 citations · 2 across the 9 of their papers we have counts for
13 papers
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…
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…
Heat kernel asymptotics and analytic torsion on non-degenerate CR manifolds
Chin-Yu Hsiao, Rung-Tzung Huang, Guokuan Shao
The existence of small-time asymptotics for the heat kernel of the Kohn Laplacian on a general CR manifold has remained an open problem. In this paper, we resolve the problem in th…
-invariant Bergman kernel and geometric quantization on complex manifolds with boundary
Chin-Yu Hsiao, Rung-Tzung Huang, Xiaoshan Li +1
Let be a complex manifold with boundary , which admits a holomorphic Lie group -action preserving . We establish a full asymptotic expansion for the -invariant Berg…
On equidistribution theorem for multi-sequences of holomorphic line bundles
Manli Liu, Weixiong Mai, Guokuan Shao
Given several sequences of Hermitian holomorphic line bundles , we establish the distribution of common zeros of random holomorphic sections of…
On Bergman kernel functions and weak Morse inequalities
Xiaoshan Li, Guokuan Shao, Huan Wang
We give simple and unified proofs of weak holomorhpic Morse inequalities on complete manifolds, -convex manifolds, pseudoconvex domains, weakly -complete manifolds and coveri…