Phung Trong Thuc

activity

20172020

collaborators

5 papers

math.CV2020

A remark on Carleson measures of domains in $C^{n}$

Phung Trong Thuc

We provide characterizations of Carleson measures on a certain class of bounded pseudoconvex domains. An example of a vanishing Carleson measure whose Berezin transform does not va…

math.CV2019

On smoothing properties of the Bergman projection

Phung Trong Thuc

We study smoothing properties of the Bergman projection and also of weighted Bergman projections. In particular, we relate these properties to the hyperconvexity index of a pseudoc…

math.CV2018

A note on $L^{2}$ boundary integrals of the Bergman kernel

Phung Trong Thuc

For any bounded convex domain $Ω$ with $C^{2}$ boundary in $C^{n}$ , we show that there exist positive constants $C_{1}$ and $C_{2}$ such that \[ C_{1}\sqrt{\dfrac{K\left(w…

math.CV2018

Bergman-Toeplitz operators on fat Hartogs triangles

Tran Vu Khanh, Jiakun Liu, Phung Trong Thuc

In this paper, we obtain some $L^{p}$ mapping properties of the Bergman-Toeplitz operator \[ f\longrightarrow T_{K^{-α}}\left(f\right):=\intop_ΩK_Ω\left(\cdot,w\right)K^{-α}\left(w…

math.CV2017

Bergman-Toeplitz operators on weakly pseudoconvex domains

Tran Vu Khanh, Jiakun Liu, Phung Trong Thuc

We prove that for certain classes of pseudoconvex domains of finite type, the Bergman-Toeplitz operator $T_{ψ}$ with symbol $ψ = K^{- α}$ maps from $L^{p}$ to $L^{q}$ continuously with…

A remark on Carleson measures of domains in Cn

On smoothing properties of the Bergman projection

A note on L2 boundary integrals of the Bergman kernel

Bergman-Toeplitz operators on fat Hartogs triangles

Bergman-Toeplitz operators on weakly pseudoconvex domains

A remark on Carleson measures of domains in $C^{n}$

A note on $L^{2}$ boundary integrals of the Bergman kernel