4 papers · 1 filter
A survey on generalizations of Forelli's theorem and related pluripotential methods
Ye-Won Luke Cho
We present a survey on recent developments of generalizations of Forelli's analyticity theorem and related pluripotential methods.
A new plurisubharmonic capacity and functions holomorphic along holomorphic vector fields
Ye-Won Luke Cho
The main purpose of this article is to present a generalization of Forelli's theorem for functions holomorphic along a suspension of integral curves of a diagonalizable vector fiel…
Localization of Forelli's theorem
Ye-Won Luke Cho
The main purpose of this article is to present a localization of Forelli's theorem for the functions holomorphic along a standard suspension of linear discs. This generalizes one o…
Functions holomorphic along a pencil of holomorphic discs
Ye-Won Luke Cho, Kang-Tae Kim
The main purpose of this article is to present a generalization of Forelli's theorem for the functions holomorphic along a general pencil of holomorphic discs. This generalizes the…