Bloch-type space of temperature functions on a finite cylinder
We define the Bloch-type space BT as the linear space of temperature functions on the cylinder ST=𝕊1×(0,T) such that sup(x,t)∈Tt|∂u∂t(x,t)|<∞, ΩT=[0,2]×(0,T); we prove that (b1(ST))*=BT, where b1(ST) is the Bergman space of temperature functions on ST belonging to L1(ΩT,dxdt)....
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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/10.1155/2007/906973 |
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| _version_ | 1832556099199303680 |
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| author | Marcos López-García |
| author_facet | Marcos López-García |
| author_sort | Marcos López-García |
| collection | DOAJ |
| description | We define the Bloch-type space BT as the linear space of temperature functions on the cylinder ST=𝕊1×(0,T) such that sup(x,t)∈Tt|∂u∂t(x,t)|<∞, ΩT=[0,2]×(0,T); we prove that (b1(ST))*=BT, where b1(ST) is the Bergman space of temperature functions on ST belonging to L1(ΩT,dxdt). |
| format | Article |
| id | doaj-art-ea05efe9306f4e029b176f9c84bde889 |
| institution | Kabale University |
| issn | 0972-6802 |
| language | English |
| publishDate | 2007-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces and Applications |
| spelling | doaj-art-ea05efe9306f4e029b176f9c84bde8892025-02-03T05:46:27ZengWileyJournal of Function Spaces and Applications0972-68022007-01-015328729710.1155/2007/906973Bloch-type space of temperature functions on a finite cylinderMarcos López-García0Instituto de Matemáticas, Universidad Nacional Autonóma de México, Circuito Exterior Ciudad Universitaria, México D.F., C.P. 04510, MéxicoWe define the Bloch-type space BT as the linear space of temperature functions on the cylinder ST=𝕊1×(0,T) such that sup(x,t)∈Tt|∂u∂t(x,t)|<∞, ΩT=[0,2]×(0,T); we prove that (b1(ST))*=BT, where b1(ST) is the Bergman space of temperature functions on ST belonging to L1(ΩT,dxdt).http://dx.doi.org/10.1155/2007/906973 |
| spellingShingle | Marcos López-García Bloch-type space of temperature functions on a finite cylinder Journal of Function Spaces and Applications |
| title | Bloch-type space of temperature functions on a finite cylinder |
| title_full | Bloch-type space of temperature functions on a finite cylinder |
| title_fullStr | Bloch-type space of temperature functions on a finite cylinder |
| title_full_unstemmed | Bloch-type space of temperature functions on a finite cylinder |
| title_short | Bloch-type space of temperature functions on a finite cylinder |
| title_sort | bloch type space of temperature functions on a finite cylinder |
| url | http://dx.doi.org/10.1155/2007/906973 |
| work_keys_str_mv | AT marcoslopezgarcia blochtypespaceoftemperaturefunctionsonafinitecylinder |