컨텐츠 시작
학술대회/행사
초록검색
| 제출번호(No.) | 0600 |
|---|---|
| 분류(Section) | Invited Talk |
| 분과(Session) | Analysis (real / complex / harmonic analysis) (SS-08) |
| 영문제목 (Title(Eng.)) |
On the Bohr's phenomenon for analytic functions |
| 저자(Author(s)) |
Yusuf Abu Muhanna1, Rosihan M. Ali2 American University of Sharjah1, Universiti Sains Malaysia2 |
| 초록본문(Abstract) | A Bohr's inequality is established in terms of the spherical chordal measure for the class of analytic functions mapping the unit disk into the exterior of a compact convex body. The radius obtained in this case is $3-2\sqrt{2}$. When the compact convex body is the closed unit disk, a sharp radius is $1/3$. A link is also established between Bohr's inequality for several classes of analytic functions with the hyperbolic metric. The classes considered consist of those analytic functions mapping the unit disk respectively into the right half-plane, the slit region, and to the exterior of the unit disk. |
| 분류기호 (MSC number(s)) |
30C35, 30C45 |
| 키워드(Keyword(s)) | Bohr's inequality, subordination, covering map, hyperbolic metric, convex domain |
| 강연 형태 (Language of Session (Talk)) |
English |