Multiplicative Isometries on Classes Mp(X) of Holomorphic Functions
In (Iida and Kasuga 2013), the authors described multiplicative (but not necessarily linear) isometries of Mp(X) onto Mp(X) in the case of positive integer p∈N, where Mp(X) (p≥1) is included in the Smirnov class N∗(X). In this paper, we will generalize the result to arbitrary (not necessarily posit...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2015/598538 |
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| _version_ | 1832549585529077760 |
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| author | Yasuo Iida Kazuhiro Kasuga |
| author_facet | Yasuo Iida Kazuhiro Kasuga |
| author_sort | Yasuo Iida |
| collection | DOAJ |
| description | In (Iida and Kasuga 2013), the authors described multiplicative (but not necessarily linear) isometries of Mp(X) onto Mp(X) in the case of positive integer p∈N, where Mp(X) (p≥1) is included in the Smirnov class N∗(X). In this paper, we will generalize the result to arbitrary (not necessarily positive integer) value of the exponents 0<p<∞. |
| format | Article |
| id | doaj-art-78a338db4f8b42f380a41a04eb738571 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-78a338db4f8b42f380a41a04eb7385712025-02-03T06:10:57ZengWileyJournal of Function Spaces2314-88962314-88882015-01-01201510.1155/2015/598538598538Multiplicative Isometries on Classes Mp(X) of Holomorphic FunctionsYasuo Iida0Kazuhiro Kasuga1Department of Mathematics, Iwate Medical University, Yahaba, Iwate 028-3694, JapanAcademic Support Center, Kogakuin University, Tokyo 192-0015, JapanIn (Iida and Kasuga 2013), the authors described multiplicative (but not necessarily linear) isometries of Mp(X) onto Mp(X) in the case of positive integer p∈N, where Mp(X) (p≥1) is included in the Smirnov class N∗(X). In this paper, we will generalize the result to arbitrary (not necessarily positive integer) value of the exponents 0<p<∞.http://dx.doi.org/10.1155/2015/598538 |
| spellingShingle | Yasuo Iida Kazuhiro Kasuga Multiplicative Isometries on Classes Mp(X) of Holomorphic Functions Journal of Function Spaces |
| title | Multiplicative Isometries on Classes Mp(X) of Holomorphic Functions |
| title_full | Multiplicative Isometries on Classes Mp(X) of Holomorphic Functions |
| title_fullStr | Multiplicative Isometries on Classes Mp(X) of Holomorphic Functions |
| title_full_unstemmed | Multiplicative Isometries on Classes Mp(X) of Holomorphic Functions |
| title_short | Multiplicative Isometries on Classes Mp(X) of Holomorphic Functions |
| title_sort | multiplicative isometries on classes mp x of holomorphic functions |
| url | http://dx.doi.org/10.1155/2015/598538 |
| work_keys_str_mv | AT yasuoiida multiplicativeisometriesonclassesmpxofholomorphicfunctions AT kazuhirokasuga multiplicativeisometriesonclassesmpxofholomorphicfunctions |