6 papers
A remark on Carleson measures of domains in
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…
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…
A note on boundary integrals of the Bergman kernel
Phung Trong Thuc
For any bounded convex domain with boundary in , we show that there exist positive constants and such that \[ C_{1}\sqrt{\dfrac{K\left(w…
Bergman-Toeplitz operators on fat Hartogs triangles
Tran Vu Khanh, Jiakun Liu, Phung Trong Thuc
In this paper, we obtain some 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…
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 with symbol maps from to continuously with…
The body force in a three-dimensional Lame' system: identification and regularization
Dang Duc Trong, Phan Thanh Nam, Phung Trong Thuc
Let a three-dimensional isotropic elastic body be described by the Lamé system with the body force of the form , where is known. We consider the problem of det…