| Authors: | Li, Songxiao Stević, Stevo |
Affiliations: | Mathematical Institute of the Serbian Academy of Sciences and Arts | Title: | Riemann-Stieltjes operators from H∞ space to α-Bloch spaces | Journal: | Integral Transforms and Special Functions | Volume: | 19 | Issue: | 11 | First page: | 767 | Last page: | 776 | Issue Date: | 1-Nov-2008 | Rank: | M22 | ISSN: | 1065-2469 | DOI: | 10.1080/10652460701510543 | Abstract: | We study the following two integral operators Jgf(z) = ∫0z f(ξ)g′(ξ)dξ and Igf(z) = ∫0z f′(ξ)g(ξ)dξ, where g is an analytic function on the open unit disk in the complex plane. The boundedness and compactness of these two operators from H∞ into the α-Bloch space and the little α-Bloch space are given. |
Keywords: | α-Bloch spaces | H space ∞ | Riemann-Stieltjes operator | Publisher: | Taylor & Francis | Project: | NSF of Guangdong Province (No. 7300614) |
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