| Authors: | Li, Songxiao Stević, Stevo |
Affiliations: | Mathematical Institute of the Serbian Academy of Sciences and Arts | Title: | Riemann-Stieltjes operators on Hardy spaces in the unit ball of ℂn | Journal: | Bulletin of the Belgian Mathematical Society - Simon Stevin | Volume: | 14 | Issue: | 4 | First page: | 621 | Last page: | 628 | Issue Date: | 1-Oct-2007 | Rank: | M23 | ISSN: | 1370-1444 | URL: | https://projecteuclid.org/download/pdf_1/euclid.bbms/1195157131 | Abstract: | Let g: B → ℂ1 be a holomorphic map of the unit ball B. We study the integral operators Tgf(z) = ∫01 f(tz)ℛg(tz)dt/t; Lgf(z) = ∫01ℛf(tz)g(tz)dt/t, z ∈ B The boundedness and compactness of the operators Tg and Lg on the Hardy space H2 in the unit ball are discussed in this paper. |
Keywords: | BMOA space | Hardy space | Riemann-Stieltjes operator | Publisher: | Belgian Mathematical Society |
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