Congwen Liu

activity

20172026

most citedTwo classes of integral operators over the Siegel upper half-space

12 citations · 17 across the 15 of their papers we have counts for

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5 papers · 1 filter

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…

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…

math.CV2017★ 12 cited

Two classes of integral operators over the Siegel upper half-space

Congwen Liu, Yi Liu, Pengyan Hu +1

We determine exactly when two classes of integral operators are bounded on weighted $L^{p}$ spaces over the Siegel upper half-space.

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

Weighted Composition Operators Acting on Harmonic Hardy Spaces

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

Two-sided norm estimates for Bergman-type projections with an asymptotically sharp lower bound

Two classes of integral operators over the Siegel upper half-space

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