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A REMARK ON REGULAR TRANSFORMS OF POSITIVE CLOSED (1,1)-CURRENTS
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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 current; regular transform; quasi-plurisubharmonic function; SUPER-POTENTIALS; CURRENTS
- 제목
- A REMARK ON REGULAR TRANSFORMS OF POSITIVE CLOSED (1,1)-CURRENTS
- 저자
- Ahn, Taeyong
- 발행일
- 2024
- 유형
- Article
- 저널명
- 한국수학논문집
- 권
- 32
- 호
- 4
- 페이지
- 695 ~ 702