Vector-valued harmonic functions
이우영
27동 116호
0
2482
02.19 16:55
| 구분 | 작용소이론 |
|---|---|
| 일정 | 2026-03-20(금) 15:00~17:00 |
| 세미나실 | 27동 116호 |
| 강연자 | 황인성 (성균관대학교) |
| 담당교수 | 기타 |
| 기타 |
Abstract: This presentation explores the theory of vector-valued harmonic functions on the open unit disk, with a primary focus on the harmonic Hardy spaces of the open unit disk. We begin by briefly reviewing the classical scalar-valued theory, emphasizing the Poisson integral representation and the existence of radial limits on the unit circle. We will then demonstrate that the classical results extend naturally to the vector-valued setting. Finally, we will establish that the harmonic Hardy space isometrically isomorphic to the space of the vector-valued (finitely additive) vector measures of bounded variation on the unit circle.