7 citations · 14 across the 8 of their papers we have counts for
10 papers
Global regularity for the -Neumann problem on pseudoconvex manifolds
Tran Vu Khanh, Andrew Raich
We establish general sufficient conditions for exact (and global) regularity in the -Neumann problem on -forms, and , on a ps…
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…
Zero sets of functions in the Nevanlinna class and the -equation on convex domains of general type in
Tran Vu Khanh, Andrew Raich
The purpose of this paper is to characterize the zero sets of holomorphic functions in the Nevanlinna class on a class of convex domains of infinite type in . Moreove…
Regularity at the Boundary and Tangential Regularity
Tran Vu Khanh, Giuseppe Zampieri
For a pseudoconvex domain in complex space, we prove the equivalence of the local hypoellipticity of the system (di-bar, di-bar*) with the system (di-bar_b,di-bar*_b) induced in th…
Compactness of in a CR manifold
Tran Vu Khanh, Stefano Pinton, Giuseppe Zampieri
This note is aimed at simplifying current literature about compactness estimates for the Kohn-Laplacian on CR manifolds. The approach consists in a tangential basic estimate in the…