Radial variation in some function spaces
In a previous paper [8] we considered properties of the radial variation of analytic functions in a class of Besov spaces Ap,qs, s≻0. Here we wish to extend these results to certain related spaces. These are the Lipschitz classes Λs and the mean Lipschitz classes Λp,s where p≥1,0≺s≺1. We also consid...
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| Format: | Article |
| Language: | English |
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Wiley
2009-01-01
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| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2009/642594 |
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| _version_ | 1841524633095897088 |
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| author | David Walsh |
| author_facet | David Walsh |
| author_sort | David Walsh |
| collection | DOAJ |
| description | In a previous paper [8] we considered properties of the radial
variation of analytic functions in a class of Besov spaces Ap,qs, s≻0. Here we wish to extend these results to certain related spaces. These are the Lipschitz
classes Λs and the mean Lipschitz classes Λp,s where p≥1,0≺s≺1. We also
consider Ap,q0, where s=0, although the results obtained for these are not as
good as when s≻0. |
| format | Article |
| id | doaj-art-718d82f80ded4ef0ae87e7ae8bb1f49f |
| institution | Kabale University |
| issn | 0972-6802 |
| language | English |
| publishDate | 2009-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces and Applications |
| spelling | doaj-art-718d82f80ded4ef0ae87e7ae8bb1f49f2025-02-03T05:47:46ZengWileyJournal of Function Spaces and Applications0972-68022009-01-0171253210.1155/2009/642594Radial variation in some function spacesDavid Walsh0Department of Mathematics, NUI Maynooth, IrelandIn a previous paper [8] we considered properties of the radial variation of analytic functions in a class of Besov spaces Ap,qs, s≻0. Here we wish to extend these results to certain related spaces. These are the Lipschitz classes Λs and the mean Lipschitz classes Λp,s where p≥1,0≺s≺1. We also consider Ap,q0, where s=0, although the results obtained for these are not as good as when s≻0.http://dx.doi.org/10.1155/2009/642594 |
| spellingShingle | David Walsh Radial variation in some function spaces Journal of Function Spaces and Applications |
| title | Radial variation in some function spaces |
| title_full | Radial variation in some function spaces |
| title_fullStr | Radial variation in some function spaces |
| title_full_unstemmed | Radial variation in some function spaces |
| title_short | Radial variation in some function spaces |
| title_sort | radial variation in some function spaces |
| url | http://dx.doi.org/10.1155/2009/642594 |
| work_keys_str_mv | AT davidwalsh radialvariationinsomefunctionspaces |