Bloch spaces of holomorphic functions in the polydisk
This work is an introduction to anisotropic spaces of holomorphic functions, which have ω-weight and are generalizations of Bloch spaces to a polydisc. We prove that these classes form an algebra and are invariant with respect to monomial multiplication. Some theorems on projection and diagonal mapp...
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| Format: | Article |
| Language: | English |
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Wiley
2007-01-01
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| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2007/353959 |
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| _version_ | 1850159236656398336 |
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| author | Anahit Harutyunyan |
| author_facet | Anahit Harutyunyan |
| author_sort | Anahit Harutyunyan |
| collection | DOAJ |
| description | This work is an introduction to anisotropic spaces of holomorphic functions, which have ω-weight and are generalizations of Bloch spaces to a polydisc. We prove that these classes form an algebra and are invariant with respect to monomial multiplication. Some theorems on projection and diagonal mapping are proved. We establish a description of (Ap(ω))* (or (Hp(ω))* via the Bloch classes for all 0<p≤1. |
| format | Article |
| id | doaj-art-b0fdd78457024329b6bc3ee5273ccce4 |
| institution | OA Journals |
| issn | 0972-6802 |
| language | English |
| publishDate | 2007-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces and Applications |
| spelling | doaj-art-b0fdd78457024329b6bc3ee5273ccce42025-08-20T02:23:36ZengWileyJournal of Function Spaces and Applications0972-68022007-01-015321323010.1155/2007/353959Bloch spaces of holomorphic functions in the polydiskAnahit Harutyunyan0Department of Mathematics, Yerevan State University, Alex Manoogian St. 1, 375049, Yerevan, ArmeniaThis work is an introduction to anisotropic spaces of holomorphic functions, which have ω-weight and are generalizations of Bloch spaces to a polydisc. We prove that these classes form an algebra and are invariant with respect to monomial multiplication. Some theorems on projection and diagonal mapping are proved. We establish a description of (Ap(ω))* (or (Hp(ω))* via the Bloch classes for all 0<p≤1.http://dx.doi.org/10.1155/2007/353959 |
| spellingShingle | Anahit Harutyunyan Bloch spaces of holomorphic functions in the polydisk Journal of Function Spaces and Applications |
| title | Bloch spaces of holomorphic functions in the polydisk |
| title_full | Bloch spaces of holomorphic functions in the polydisk |
| title_fullStr | Bloch spaces of holomorphic functions in the polydisk |
| title_full_unstemmed | Bloch spaces of holomorphic functions in the polydisk |
| title_short | Bloch spaces of holomorphic functions in the polydisk |
| title_sort | bloch spaces of holomorphic functions in the polydisk |
| url | http://dx.doi.org/10.1155/2007/353959 |
| work_keys_str_mv | AT anahitharutyunyan blochspacesofholomorphicfunctionsinthepolydisk |