Shaoyu Dai

activity

20112021

most citedA Schwarz-Pick lemma for the modulus of holomorphic mappings between the unit balls in complex spaces

2 citations · 4 across the 9 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

math.CV2019

On the Poincare-Lelong equation in $C^{n}$

Shaoyu Dai, Yifei Pan

In this paper, we prove the existence of (global) solutions of the Poincaré-Lelong equation $\partial\overline{\p}u=f$, where $f$ is a $d$ -closed $(1, 1)$ form and is in the weighte…

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.CV2019

A right inverse of Cauchy-Riemann operator $\partial ˉ^{k} + a$ in weighted Hilbert space $L^{2} (C, e^{- ∣ z ∣^{2}})$

Shaoyu Dai, Yifei Pan

Using Hörmander $L^{2}$ method for Cauchy-Riemann equations from complex analysis, we study a simple differential operator $\partial ˉ^{k} + a$ of any order (densely defined and clos…

On the Poincare-Lelong equation in Cn

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

A right inverse of Cauchy-Riemann operator ∂ˉk+a in weighted Hilbert space L2(C,e−∣z∣2)

On the Poincare-Lelong equation in $C^{n}$

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

A right inverse of Cauchy-Riemann operator $\partial ˉ^{k} + a$ in weighted Hilbert space $L^{2} (C, e^{- ∣ z ∣^{2}})$