1 citations · 2 across the 4 of their papers we have counts for
4 papers
Lipschitz continuity of the solutions to the Dirichlet problems for the invariant laplacians
Congwen Liu, Heng Xu
This short note is motivated by an attempt to understand the distinction between the Laplace operator and the hyperbolic Laplacian on the unit ball of , regarding the…
A uniqueness property for Bergman functions on the Siegel upper half-space
Congwen Liu, Jiajia Si, Heng Xu
In this paper, we show that the Bergman functions on the Siegel upper half-space enjoy the following uniqueness property: if $f\in A_t^p(\calU)$ and $\bfL^α f\equiv 0$ for some non…
Norm estimates for the Bergman and Cauchy-Szegö projections over the Siegel upper half-space
Congwen Liu
We obtain several estimates for the operator norms of the Bergman and Cauchy-Szegö projections over the the Siegel upper half-space. As a by-product, we also determine the pr…
Two-sided norm estimates for Bergman-type projections with an asymptotically sharp lower bound
Congwen Liu, Antti Perälä, Lifang Zhou
We obtain new two-sided norm estimates for the family of Bergman-type projections arising from the standard weights where . As , the lower bound is sha…