Vector-valued harmonic functions

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Vector-valued harmonic functions

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일정 2026-03-20(금) 15:00~17:00
세미나실 27동 116호
강연자 황인성 (성균관대학교)
담당교수 기타
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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.

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