Inner functions in QK type spaces
Inner functions in QK(p,q) are studied, provided K satisfies certain regularity conditions. In particular, it is shown that the only inner functions in QK(p, p-2), p≥1, are precisely the Blaschke products whose zeros {zn} satisfy supa∈D∑K(1-|φa(zn)|2)<∞.
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2011/765101 |
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| _version_ | 1832549843825852416 |
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| author | Congli Yang |
| author_facet | Congli Yang |
| author_sort | Congli Yang |
| collection | DOAJ |
| description | Inner functions in QK(p,q) are studied, provided K satisfies certain regularity conditions. In particular, it is shown that the only inner functions in QK(p, p-2), p≥1, are precisely the Blaschke products whose zeros {zn} satisfy supa∈D∑K(1-|φa(zn)|2)<∞. |
| format | Article |
| id | doaj-art-29c3c999efa64603816bd28459382281 |
| institution | Kabale University |
| issn | 0972-6802 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces and Applications |
| spelling | doaj-art-29c3c999efa64603816bd284593822812025-02-03T06:08:20ZengWileyJournal of Function Spaces and Applications0972-68022011-01-019330532210.1155/2011/765101Inner functions in QK type spacesCongli Yang0Department of Mathematics and Computer Science, Guizhou Normal University, Gui Yang, 550001, ChinaInner functions in QK(p,q) are studied, provided K satisfies certain regularity conditions. In particular, it is shown that the only inner functions in QK(p, p-2), p≥1, are precisely the Blaschke products whose zeros {zn} satisfy supa∈D∑K(1-|φa(zn)|2)<∞.http://dx.doi.org/10.1155/2011/765101 |
| spellingShingle | Congli Yang Inner functions in QK type spaces Journal of Function Spaces and Applications |
| title | Inner functions in QK type spaces |
| title_full | Inner functions in QK type spaces |
| title_fullStr | Inner functions in QK type spaces |
| title_full_unstemmed | Inner functions in QK type spaces |
| title_short | Inner functions in QK type spaces |
| title_sort | inner functions in qk type spaces |
| url | http://dx.doi.org/10.1155/2011/765101 |
| work_keys_str_mv | AT congliyang innerfunctionsinqktypespaces |