Yang Liu

activity

20132020

collaborators

3 papers

math.CV2020

$L^{2}$ estimates of Poincaré-Lelong equations on convex domains in $C^{n}$

Shaoyu Dai, Yang Liu, Yifei Pan

In this paper, we prove the existence of solutions of the Poincaré-Lelong equation $- 1 \partial \partial ˉ u = f$ on a strictly convex bounded domain $Ω \subset C^{n}$ $…

math.AP2019

A right inverse of differential operator $Δ + a$ in weighted Hilbert space $L^{2} (R^{n}, e^{- ∣ x ∣^{2}})$

Shaoyu Dai, Yang Liu, Yifei Pan

In this note, we prove the existence of weak solutions of a Poisson type equation in the weighted Hilbert space $L^{2} (R^{n}, e^{- ∣ x ∣^{2}})$ .

math.AP2013

A variant of Hörmander's $L^{2}$ theorem for Dirac operator in Clifford analysis

Yang Liu, Zhihua Chen, Yifei Pan

In this paper, we give the Hörmander's $L^{2}$ theorem for Dirac operator over an open subset $Ω \in R^{n + 1}$ with Clifford algebra. Some sufficient condition on the existence of the…

L2 estimates of Poincaré-Lelong equations on convex domains in Cn

A right inverse of differential operator Δ+a in weighted Hilbert space L2(Rn,e−∣x∣2)

A variant of Hörmander's L2 theorem for Dirac operator in Clifford analysis

$L^{2}$ estimates of Poincaré-Lelong equations on convex domains in $C^{n}$

A right inverse of differential operator $Δ + a$ in weighted Hilbert space $L^{2} (R^{n}, e^{- ∣ x ∣^{2}})$

A variant of Hörmander's $L^{2}$ theorem for Dirac operator in Clifford analysis