1 citations · 2 across the 8 of their papers we have counts for
8 papers
Compactness and the essential norm on Bergman spaces of the Siegel upper half-space
Peiyao Li, Congwen Liu, Jiajia Si
In this paper, we characterize compactness in terms of the Berezin transform and obtain an essential norm estimate for operators in the Toeplitz algebra on Bergman spaces of the Si…
A Bloch-type space and the predual of on the Siegel upper half-space
Congwen Liu, Jiajia Si
This paper aims to determine the predual of the Bergman space on the Siegel upper half-space. To achieve this, a Bloch-type space $\widetilde{\calB}$ is introduced and stud…
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…
BMO and Hankel operators on Bergman space of the Siegel upper half-space
Jiajia Si
On the setting of the Siegel upper half-space we study the spaces of bounded and vanishing mean oscillations which are defined in terms of the Berezin transform, and we use them to…
Schatten class positive Toeplitz operators on Bergman spaces of the Siegel upper half-space
Jiajia Si
We characterize Schatten class membership of positive Toeplitz operators defined on the Bergman spaces over the Siegel upper half-space in terms of averaging functions and Berezin…
Positive Toeplitz operators on the Bergman spaces of the Siegel upper half-space
Congwen Liu, Jiajia Si
We characterize bounded and compact positive Toeplitz operators defined on the Bergman spaces over the Siegel upper half-space.
Weighted integrability of polyharmonic functions in the higher dimensional case
Congwen Liu, Antti Perala, Jiajia Si
This paper is concerned with the integrability of -harmonic functions with respect to the standard weights on the unit ball of , $…
boundedness of Bergman-type operators over the Siegel upper half-space
Congwen Liu, Jiajia Si, Pengyan Hu
We characterize the boundedness of Bergman-type operators over the Siegel upper half-space. This extends a recent result of Cheng et. al. (Trans. Amer. Math. Soc. 369:864…