Guantie Deng

activity

20112022

1 < p < \infty

) over Lipschitz Domains

1 citations · 1 across the 14 of their papers we have counts for

collaborators

Showing 2022Show all

3 papers · 1 filter

math.CV2022

The weighted reproducing kernels of the Reinhardt domain

Qian Fu, Guantie Deng

In this paper, we develop the theory of weighted Bergman space and obtain a general representation formula of the Bergman kernel function for the spaces on the Reinhardt domain con…

math.CV2022

$L^{p}$ boundedness of the Bergman Projection on generalizations of the Hartogs triangle in $C^{n + 1}$

Qian Fu, Guantie Deng

In this paper, we investigate a class of domains $Ω_{γ}^{n + 1} = {(z, w) \in C^{n} \times C : ∣ z ∣^{γ} < ∣ w ∣ < 1}$ for $γ > 0$ that generalizes the Hartogs triangle. We obtain a…

math.CV2022

$L^{p}$ regularity of the Bergman projection on generalizations of the Hartogs triangle in $C^{n + 1}$

Qian Fu, Guan-Tie Deng, Hui Cao

In this paper we investigate a class of domains $Ω_{k}^{n + 1} = {(z, w) \in C^{n} \times C : ∣ z ∣^{k} < ∣ w ∣ < 1}$ for $k \in Z^{+}$ which generalizes the Hartogs tria…

The weighted reproducing kernels of the Reinhardt domain

Lp boundedness of the Bergman Projection on generalizations of the Hartogs triangle in Cn+1

Lp regularity of the Bergman projection on generalizations of the Hartogs triangle in Cn+1

$L^{p}$ boundedness of the Bergman Projection on generalizations of the Hartogs triangle in $C^{n + 1}$

$L^{p}$ regularity of the Bergman projection on generalizations of the Hartogs triangle in $C^{n + 1}$