Riemann-Stieltjes operators between Bergman-type spaces and α-Bloch spaces
We study the following integral operators: Jgf(z)=∫0zf(ξ)g′(ξ)dξ; Igf(z)=∫0zf′(ξ)g(ξ)dξ, where g is an analytic function on the open unit disk in the complex plane. The boundedness and compactness of Jg, Ig between the Bergman-type spaces and the α-Bloch spaces are investigated.
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| Format: | Article |
| Language: | English |
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Wiley
2006-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS/2006/86259 |
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| _version_ | 1850167666614992896 |
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| author | Songxiao Li |
| author_facet | Songxiao Li |
| author_sort | Songxiao Li |
| collection | DOAJ |
| description | We study the following integral operators:
Jgf(z)=∫0zf(ξ)g′(ξ)dξ;
Igf(z)=∫0zf′(ξ)g(ξ)dξ, where g is an analytic function on the open unit disk in the complex plane. The
boundedness and compactness of Jg, Ig between the Bergman-type spaces and the α-Bloch spaces are investigated. |
| format | Article |
| id | doaj-art-e6c38b4856ca41a8a799b0b3114e070f |
| institution | OA Journals |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2006-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-e6c38b4856ca41a8a799b0b3114e070f2025-08-20T02:21:10ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252006-01-01200610.1155/IJMMS/2006/8625986259Riemann-Stieltjes operators between Bergman-type spaces and α-Bloch spacesSongxiao Li0Department of Mathematics, Shantou University, Shantou, Guangdong 515063, ChinaWe study the following integral operators: Jgf(z)=∫0zf(ξ)g′(ξ)dξ; Igf(z)=∫0zf′(ξ)g(ξ)dξ, where g is an analytic function on the open unit disk in the complex plane. The boundedness and compactness of Jg, Ig between the Bergman-type spaces and the α-Bloch spaces are investigated.http://dx.doi.org/10.1155/IJMMS/2006/86259 |
| spellingShingle | Songxiao Li Riemann-Stieltjes operators between Bergman-type spaces and α-Bloch spaces International Journal of Mathematics and Mathematical Sciences |
| title | Riemann-Stieltjes operators between Bergman-type spaces and
α-Bloch spaces |
| title_full | Riemann-Stieltjes operators between Bergman-type spaces and
α-Bloch spaces |
| title_fullStr | Riemann-Stieltjes operators between Bergman-type spaces and
α-Bloch spaces |
| title_full_unstemmed | Riemann-Stieltjes operators between Bergman-type spaces and
α-Bloch spaces |
| title_short | Riemann-Stieltjes operators between Bergman-type spaces and
α-Bloch spaces |
| title_sort | riemann stieltjes operators between bergman type spaces and α bloch spaces |
| url | http://dx.doi.org/10.1155/IJMMS/2006/86259 |
| work_keys_str_mv | AT songxiaoli riemannstieltjesoperatorsbetweenbergmantypespacesandablochspaces |