Congwen Liu

activity

20172023

most citedNorm estimates for the Bergman and Cauchy-Szegö projections over the Siegel upper half-space

1 citations · 2 across the 4 of their papers we have counts for

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math.CV2022

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…

math.CV2017★ 1 cited

Norm estimates for the Bergman and Cauchy-Szegö projections over the Siegel upper half-space

Congwen Liu

We obtain several estimates for the $L^{p}$ 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…

math.CV2017★ 1 cited

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 $(1 - ∣ z ∣^{2})^{α}$ where $α > - 1$ . As $α \to - 1$ , the lower bound is sha…