Boundedness for a Class of Singular Integral Operators on Both Classical and Product Hardy Spaces
We found that the classical Calderón-Zygmund singular integral operators are bounded on both the classical Hardy spaces and the product Hardy spaces. The purpose of this paper is to extend this result to a more general class. More precisely, we introduce a class of singular integral operators includ...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/987214 |
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| _version_ | 1832558549255847936 |
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| author | Chaoqiang Tan |
| author_facet | Chaoqiang Tan |
| author_sort | Chaoqiang Tan |
| collection | DOAJ |
| description | We found that the classical Calderón-Zygmund singular integral operators are bounded on both the classical Hardy spaces and the product Hardy spaces. The purpose of this paper is to extend this result to a more general class. More precisely, we introduce a class of singular integral operators including the classical Calderón-Zygmund singular integral operators and show that they are bounded on both the classical Hardy spaces and the product Hardy spaces. |
| format | Article |
| id | doaj-art-b02b3545523441159a49a12ba378d156 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-b02b3545523441159a49a12ba378d1562025-02-03T01:32:07ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/987214987214Boundedness for a Class of Singular Integral Operators on Both Classical and Product Hardy SpacesChaoqiang Tan0Department of Mathematics, Shantou University, Shantou 515063, ChinaWe found that the classical Calderón-Zygmund singular integral operators are bounded on both the classical Hardy spaces and the product Hardy spaces. The purpose of this paper is to extend this result to a more general class. More precisely, we introduce a class of singular integral operators including the classical Calderón-Zygmund singular integral operators and show that they are bounded on both the classical Hardy spaces and the product Hardy spaces.http://dx.doi.org/10.1155/2014/987214 |
| spellingShingle | Chaoqiang Tan Boundedness for a Class of Singular Integral Operators on Both Classical and Product Hardy Spaces Abstract and Applied Analysis |
| title | Boundedness for a Class of Singular Integral Operators on Both Classical and Product Hardy Spaces |
| title_full | Boundedness for a Class of Singular Integral Operators on Both Classical and Product Hardy Spaces |
| title_fullStr | Boundedness for a Class of Singular Integral Operators on Both Classical and Product Hardy Spaces |
| title_full_unstemmed | Boundedness for a Class of Singular Integral Operators on Both Classical and Product Hardy Spaces |
| title_short | Boundedness for a Class of Singular Integral Operators on Both Classical and Product Hardy Spaces |
| title_sort | boundedness for a class of singular integral operators on both classical and product hardy spaces |
| url | http://dx.doi.org/10.1155/2014/987214 |
| work_keys_str_mv | AT chaoqiangtan boundednessforaclassofsingularintegraloperatorsonbothclassicalandproducthardyspaces |