Congwen Liu

activity

20172020

most cited

L^{p} - L^{q}

boundedness of Bergman-type operators over the Siegel upper half-space

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

collaborators

6 papers

math.AP2020

Schwarz-Pick lemma for harmonic functions

Congwen Liu

Based on the recently proved Khavinson conjecture, we establish an inequality of Schwarz-Pick type for harmonic functions on the unit ball of $R^{n}$ .

math.AP2019

A proof of the generalized Khavinson conjecture

Congwen Liu

We give a complete proof of the generalized Khavinson conjecture which states that, for bounded harmonic functions on the unit ball of $R^{n}$ , the sharp constants in the es…

math.CV2019★ 1 cited

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.

math.CV2018

Weighted integrability of polyharmonic functions in the higher dimensional case

Congwen Liu, Antti Perala, Jiajia Si

This paper is concerned with the $L^{p}$ integrability of $N$ -harmonic functions with respect to the standard weights $(1 - ∣ x ∣^{2})^{α}$ on the unit ball $B$ of $R^{n}$ , $…

math.CV2017★ 1 cited

$L^{p} - L^{q}$ boundedness of Bergman-type operators over the Siegel upper half-space

Congwen Liu, Jiajia Si, Pengyan Hu

We characterize the $L^{p} - L^{q}$ 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…

math.CV2017

Weighted Composition Operators Acting on Harmonic Hardy Spaces

Pengyan Hu, Congwen Liu, Taishun Liu +1

Suppose $n \geq 3$ and let $B$ be the open unit ball in $R^{n}$ . Let $φ : B \to B$ be a $C^{2}$ map whose Jacobian does not change sign, and let $ψ$ be a $C^{2}$ function on $B$ . W…

Schwarz-Pick lemma for harmonic functions

A proof of the generalized Khavinson conjecture

Positive Toeplitz operators on the Bergman spaces of the Siegel upper half-space

Weighted integrability of polyharmonic functions in the higher dimensional case

Lp−Lq boundedness of Bergman-type operators over the Siegel upper half-space

Weighted Composition Operators Acting on Harmonic Hardy Spaces

$L^{p} - L^{q}$ boundedness of Bergman-type operators over the Siegel upper half-space