Yang Liu

activity

20122021

most citedA boundary Schwarz Lemma for holomorphic mappings between unit balls of different dimensions

1 citations · 1 across the 7 of their papers we have counts for

collaborators

7 papers

math.AP2021

$L^{2}$ estimate for polynomials of the Laplace operator with Gaussian measure

Shaoyu Dai, Yang Liu, Yifei Pan

Let $P (Δ)$ be a polynomial of the Laplace operator $Δ = \sum_{j = 1}^{n} \frac{\partial ^{2}}{\partial x _{j}^{2}}$ on $R^{n}$ . We prove the existence of weak solutions of the equation $P(…

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.CV2014

A boundary Schwarz lemma for holomorphic mappings from the polydisc to the unit ball

Yang Liu, Zhihua Chen, Yifei Pan

In this paper, we prove a general Schwarz lemma at the boundary for holomorphic mappings from the polydisc to the unit ball in any dimensions. For the special case of one complex v…

math.CV2014★ 1 cited

A boundary Schwarz Lemma for holomorphic mappings between unit balls of different dimensions

Yang Liu, Zhihua Chen, Yifei Pan

In this paper, we give a general boundary Schwarz lemma for holomorphic mappings between unit balls in any dimensions. It is proved that if the mapping $f \in C^{1 + α}$ at $z_0\in \p…

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 estimate for polynomials of the Laplace operator with Gaussian measure

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 boundary Schwarz lemma for holomorphic mappings from the polydisc to the unit ball

A boundary Schwarz Lemma for holomorphic mappings between unit balls of different dimensions

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

$L^{2}$ estimate for polynomials of the Laplace operator with Gaussian measure

$L^{2}$ 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