Elliptic Riesz operators on the weighted special atom spaces
In this paper we study the boundedness and convergence of σrs(f) and σ˜rs(f), the elliptic Riesz operators and the conjugate elliptic Riesz operators of order s>0, on the weighted special atom space B(ω).
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| Format: | Article |
| Language: | English |
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Wiley
1996-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171296000038 |
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| _version_ | 1832553520984752128 |
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| author | Kuang Jichang |
| author_facet | Kuang Jichang |
| author_sort | Kuang Jichang |
| collection | DOAJ |
| description | In this paper we study the boundedness and convergence of σrs(f) and σ˜rs(f), the elliptic Riesz operators and the conjugate elliptic Riesz operators of order s>0, on the weighted special atom space B(ω). |
| format | Article |
| id | doaj-art-1190540846b345f58bf6c57e2bcf70ec |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1996-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-1190540846b345f58bf6c57e2bcf70ec2025-02-03T05:53:47ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251996-01-01191151810.1155/S0161171296000038Elliptic Riesz operators on the weighted special atom spacesKuang Jichang0Department of Mathematics, Hunan Normal University, Hunan, Changsha 410081, ChinaIn this paper we study the boundedness and convergence of σrs(f) and σ˜rs(f), the elliptic Riesz operators and the conjugate elliptic Riesz operators of order s>0, on the weighted special atom space B(ω).http://dx.doi.org/10.1155/S0161171296000038elliptic Riesz operatorsweighted special atom spaceLorentz spaces. |
| spellingShingle | Kuang Jichang Elliptic Riesz operators on the weighted special atom spaces International Journal of Mathematics and Mathematical Sciences elliptic Riesz operators weighted special atom space Lorentz spaces. |
| title | Elliptic Riesz operators on the weighted special atom spaces |
| title_full | Elliptic Riesz operators on the weighted special atom spaces |
| title_fullStr | Elliptic Riesz operators on the weighted special atom spaces |
| title_full_unstemmed | Elliptic Riesz operators on the weighted special atom spaces |
| title_short | Elliptic Riesz operators on the weighted special atom spaces |
| title_sort | elliptic riesz operators on the weighted special atom spaces |
| topic | elliptic Riesz operators weighted special atom space Lorentz spaces. |
| url | http://dx.doi.org/10.1155/S0161171296000038 |
| work_keys_str_mv | AT kuangjichang ellipticrieszoperatorsontheweightedspecialatomspaces |