The boundary Riemann problem of the power-logarithmic order of infinity index for the half-plane
The boundary Riemann problem of the power-logarithmic order of infinity index for the half-plane in the class ℬ of bounded analytic functions and in the class ℬ0(ρ, n) ⊂ ℬ, is investigated. Also, the necessary and sufficient conditions for the solution of this problem in the class ℬ0(ρ, n), are obt...
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| Format: | Article |
| Language: | English |
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Vilnius University Press
2005-12-01
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| Series: | Lietuvos Matematikos Rinkinys |
| Subjects: | |
| Online Access: | https://www.journals.vu.lt/LMR/article/view/24556 |
| _version_ | 1826861994943184896 |
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| author | Petras Alekna |
| author_facet | Petras Alekna |
| author_sort | Petras Alekna |
| collection | DOAJ |
| description |
The boundary Riemann problem of the power-logarithmic order of infinity index for the half-plane in the class ℬ of bounded analytic functions and in the class ℬ0(ρ, n) ⊂ ℬ, is investigated. Also, the necessary and sufficient conditions for the solution of this problem in the class ℬ0(ρ, n), are obtained.
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| first_indexed | 2024-03-07T15:40:48Z |
| format | Article |
| id | doaj.art-8ef6db09062947538d6cd817b1c68537 |
| institution | Directory Open Access Journal |
| issn | 0132-2818 2335-898X |
| language | English |
| last_indexed | 2025-02-16T20:31:56Z |
| publishDate | 2005-12-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Lietuvos Matematikos Rinkinys |
| spelling | doaj.art-8ef6db09062947538d6cd817b1c685372025-01-20T18:16:07ZengVilnius University PressLietuvos Matematikos Rinkinys0132-28182335-898X2005-12-0145spec.10.15388/LMR.2005.24556The boundary Riemann problem of the power-logarithmic order of infinity index for the half-planePetras Alekna0Siauliu University The boundary Riemann problem of the power-logarithmic order of infinity index for the half-plane in the class ℬ of bounded analytic functions and in the class ℬ0(ρ, n) ⊂ ℬ, is investigated. Also, the necessary and sufficient conditions for the solution of this problem in the class ℬ0(ρ, n), are obtained. https://www.journals.vu.lt/LMR/article/view/24556boundary Riemann probleminfinity indexclass B of bounded analytic functions |
| spellingShingle | Petras Alekna The boundary Riemann problem of the power-logarithmic order of infinity index for the half-plane Lietuvos Matematikos Rinkinys boundary Riemann problem infinity index class B of bounded analytic functions |
| title | The boundary Riemann problem of the power-logarithmic order of infinity index for the half-plane |
| title_full | The boundary Riemann problem of the power-logarithmic order of infinity index for the half-plane |
| title_fullStr | The boundary Riemann problem of the power-logarithmic order of infinity index for the half-plane |
| title_full_unstemmed | The boundary Riemann problem of the power-logarithmic order of infinity index for the half-plane |
| title_short | The boundary Riemann problem of the power-logarithmic order of infinity index for the half-plane |
| title_sort | boundary riemann problem of the power logarithmic order of infinity index for the half plane |
| topic | boundary Riemann problem infinity index class B of bounded analytic functions |
| url | https://www.journals.vu.lt/LMR/article/view/24556 |
| work_keys_str_mv | AT petrasalekna theboundaryriemannproblemofthepowerlogarithmicorderofinfinityindexforthehalfplane AT petrasalekna boundaryriemannproblemofthepowerlogarithmicorderofinfinityindexforthehalfplane |