arXiv subjects

Tai Terje Huu Nguyen

Publications and source records attributed to Tai Terje Huu Nguyen.

3 recordsLinked to original sources

arXiv2024

A Hilbert bundle approach to the sharp strong openness theorem and the Ohsawa-Takegoshi extension theorem

The following paper is around parts of the first named author's thesis. We discuss (what we call) a Hilbert bundle approach to complex Brunn-Minkowski theory and obtain a general monotonicity theorem. As two applications, we prove a generalization of Guan's sharp strong openness theorem and a sharp Ohsawa-Takegoshi extension theorem. A second proof of Guan-Zhou's strong openness theorem using a Donnelly-Fefferman estimate is also given.

math.CV↗

arXiv2023

A Hilbert Bundles Description of Complex Brunn-Minkowski Theory

The following is a Ph.D. thesis. The thesis is submitted in partial fulfillment of the requirements for the degree of Philosophiae Doctor (Ph.D.) at the Norwegian University of Science and Technology.

math.CV↗

arXiv2021

On a remark by Ohsawa related to the Berndtsson-Lempert method for $L^2$-holomorphic extension

We utilize the Legendre-Fenchel transform and weak geodesics for plurisubharmonic functions to construct a weight function that can be used in the Berndtsson-Lempert method, to give an Ohsawa-Takegoshi extension type of result. Theorem 4.1 and Theorem 0.1 in \cite{OT2017} (Theorem \ref{Theorem A} and \ref{Theorem B} below) follow as two special cases of this result, thus answering affirmatively a question posed by Ohsawa in remark 4.1 in \cite{OT2017}, on the Berndtsson-Lempert method.

math.CV↗