| Authors: | Li, Songxiao Stević, Stevo |
Affiliations: | Mathematical Institute of the Serbian Academy of Sciences and Arts | Title: | Riemann-stieltjes operators between different weighted Bergman spaces | Journal: | Bulletin of the Belgian Mathematical Society - Simon Stevin | Volume: | 15 | Issue: | 4 | First page: | 677 | Last page: | 686 | Issue Date: | 1-Oct-2008 | Rank: | M23 | ISSN: | 1370-1444 | URL: | https://projecteuclid.org/download/pdf_1/euclid.bbms/1225893947 | Abstract: | Let g : B → ℂ1 be a holomorphic map of the unit ball B. We give a complete picture regarding the boundedness and compactness of the following two integral operators Tgf(z) = ∫01 f(tz)Rg(tz)dt/t and Lgf(z) = ∫01 Rf(tz)g(tz)dt/t, z ∈B, between different weighted Bergman spaces. |
Keywords: | Bergman space | Boundedness | Compactness | Riemann-stieltjes operator | Publisher: | Belgian Mathematical Society | Project: | NSF of Guangdong Province (No.7300614) |
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