Congwen Liu

activity

20172025

most cited

L^{p} - L^{q}

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

1 citations · 2 across the 5 of their papers we have counts for

collaborators

Showing math.APShow all

3 papers · 1 filter

math.AP2025

CR Yamabe Equation on the Heisenberg Group via the method of moving spheres

Congwen Liu

In this paper, we classify positive solutions to the CR Yamabe equation on the Heisenberg group $H^{n}$ . We show that all such solutions are Jerison-Lee bubbles, without imp…

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…