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Bloch-type spaces on the upper half-plane

Xi Fu|Junding Zhang
대한수학회 (The Korean Mathematical Society)|2017.07|대한수학회보 (Bulletin of the KMS)|제54권 제4호|pp. 1337-1346

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참고문헌

키워드

Bloch spacecomposition operatormajorant
주제분류수학

초록

We define Bloch-type spaces of $\mathcal{C}^1(\IH)$ on the upper half plane $\mathbb{H}$ and characterize them in terms of weighted Lipschitz functions. We also discuss the boundedness of a composition operator $C_\phi$ acting between two Bloch spaces. These obtained results generalize the corresponding known ones to the setting of upper half plane.

Abstract

We define Bloch-type spaces of $\mathcal{C}^1(\IH)$ on the upper half plane $\mathbb{H}$ and characterize them in terms of weighted Lipschitz functions. We also discuss the boundedness of a composition operator $C_\phi$ acting between two Bloch spaces. These obtained results generalize the corresponding known ones to the setting of upper half plane.

참고문헌 (21)

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