Growth of HP functions in tubes
Let C be an open convex cone in n dimensional real space Rn such that C¯ does not contain any entire straight line. We obtain a growth condition on functions in the Hardy spaces HP(TC), 1≤p≤∞, corresponding to the tube TC=Rn+iC in n dimensional complex space ℂn.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
1981-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171281000306 |
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| _version_ | 1832564339641417728 |
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| author | Richard D. Carmichael Stephen P. Richters |
| author_facet | Richard D. Carmichael Stephen P. Richters |
| author_sort | Richard D. Carmichael |
| collection | DOAJ |
| description | Let C be an open convex cone in n dimensional real space Rn such that C¯ does not contain any entire straight line. We obtain a growth condition on functions in the Hardy spaces HP(TC), 1≤p≤∞, corresponding to the tube TC=Rn+iC in n dimensional complex space ℂn. |
| format | Article |
| id | doaj-art-763c517d11fd491f953ac581cf3ffbf0 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1981-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-763c517d11fd491f953ac581cf3ffbf02025-02-03T01:11:20ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251981-01-014343544310.1155/S0161171281000306Growth of HP functions in tubesRichard D. Carmichael0Stephen P. Richters1Department of Mathematics, Wake Forest University, Winston-Salem 27109, North Carolina, USADepartment of Mathematics, Wake Forest University, Winston-Salem 27109, North Carolina, USALet C be an open convex cone in n dimensional real space Rn such that C¯ does not contain any entire straight line. We obtain a growth condition on functions in the Hardy spaces HP(TC), 1≤p≤∞, corresponding to the tube TC=Rn+iC in n dimensional complex space ℂn.http://dx.doi.org/10.1155/S0161171281000306HP spaces in tube domainsPoisson Kernel function and Poisson integral. |
| spellingShingle | Richard D. Carmichael Stephen P. Richters Growth of HP functions in tubes International Journal of Mathematics and Mathematical Sciences HP spaces in tube domains Poisson Kernel function and Poisson integral. |
| title | Growth of HP functions in tubes |
| title_full | Growth of HP functions in tubes |
| title_fullStr | Growth of HP functions in tubes |
| title_full_unstemmed | Growth of HP functions in tubes |
| title_short | Growth of HP functions in tubes |
| title_sort | growth of hp functions in tubes |
| topic | HP spaces in tube domains Poisson Kernel function and Poisson integral. |
| url | http://dx.doi.org/10.1155/S0161171281000306 |
| work_keys_str_mv | AT richarddcarmichael growthofhpfunctionsintubes AT stephenprichters growthofhpfunctionsintubes |