Multipliers in Holomorphic Mean Lipschitz Spaces on the Unit Ball
For 1≤p≤∞ and s>0, let Λsp be holomorphic mean Lipschitz spaces on the unit ball in ℂn. It is shown that, if s>n/p, the space Λsp is a multiplicative algebra. If s>n/p, then the space Λsp is not a multiplicative algebra. We give some sufficient conditions for a holomorphic function to be a...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/869256 |
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| author | Hong Rae Cho |
| author_facet | Hong Rae Cho |
| author_sort | Hong Rae Cho |
| collection | DOAJ |
| description | For 1≤p≤∞ and s>0, let Λsp be holomorphic mean Lipschitz spaces on the unit ball in ℂn. It is shown that, if s>n/p, the space Λsp is a multiplicative algebra. If s>n/p, then the space Λsp is not a multiplicative algebra. We give some sufficient conditions for a holomorphic function to be a pointwise multiplier of Λn/pp. |
| format | Article |
| id | doaj-art-82b2aecefad94fafbe1f1556c70f98c6 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-82b2aecefad94fafbe1f1556c70f98c62025-02-03T01:11:24ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/869256869256Multipliers in Holomorphic Mean Lipschitz Spaces on the Unit BallHong Rae Cho0Department of Mathematics, Pusan National University, Pusan 609-735, Republic of KoreaFor 1≤p≤∞ and s>0, let Λsp be holomorphic mean Lipschitz spaces on the unit ball in ℂn. It is shown that, if s>n/p, the space Λsp is a multiplicative algebra. If s>n/p, then the space Λsp is not a multiplicative algebra. We give some sufficient conditions for a holomorphic function to be a pointwise multiplier of Λn/pp.http://dx.doi.org/10.1155/2012/869256 |
| spellingShingle | Hong Rae Cho Multipliers in Holomorphic Mean Lipschitz Spaces on the Unit Ball Abstract and Applied Analysis |
| title | Multipliers in Holomorphic Mean Lipschitz Spaces on the Unit Ball |
| title_full | Multipliers in Holomorphic Mean Lipschitz Spaces on the Unit Ball |
| title_fullStr | Multipliers in Holomorphic Mean Lipschitz Spaces on the Unit Ball |
| title_full_unstemmed | Multipliers in Holomorphic Mean Lipschitz Spaces on the Unit Ball |
| title_short | Multipliers in Holomorphic Mean Lipschitz Spaces on the Unit Ball |
| title_sort | multipliers in holomorphic mean lipschitz spaces on the unit ball |
| url | http://dx.doi.org/10.1155/2012/869256 |
| work_keys_str_mv | AT hongraecho multipliersinholomorphicmeanlipschitzspacesontheunitball |