A REMARK ON REGULAR TRANSFORMS OF POSITIVE CLOSED (1,1)-CURRENTS

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초록

In this note, we prove that every regular transform of a positive closed (1, 1)-current on a compact Ka<spacing diaeresis>hler manifold admits Lipschitz quasi-potentials. As an application, we obtain some regularity properties of the Dinh-Sibony approximation of positive closed currents in the case of bidegree (1, 1).

키워드

positive closed currentregular transformquasi-plurisubharmonic functionSUPER-POTENTIALSCURRENTS
제목
A REMARK ON REGULAR TRANSFORMS OF POSITIVE CLOSED (1,1)-CURRENTS
저자
Ahn, Taeyong
DOI
10.11568/kjm.2024.32.4.695
발행일
2024
유형
Article
저널명
한국수학논문집
32
4
페이지
695 ~ 702