3 papers
math.CV2023
A Hilbert Bundles Description of Complex Brunn-Minkowski Theory
Tai Terje Huu Nguyen
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 Sci…
math.CV2021
A Hilbert bundle approach to the sharp strong openness theorem and the Ohsawa-Takegoshi extension theorem
Tai Terje Huu Nguyen, Xu Wang
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 m…
math.CV2021
On a remark by Ohsawa related to the Berndtsson-Lempert method for -holomorphic extension
Tai Terje Huu Nguyen, Xu Wang
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 giv…