Herz-Type Hardy Spaces Associated with Operators
Suppose L is a nonnegative, self-adjoint differential operator. In this paper, we introduce the Herz-type Hardy spaces associated with operator L. Then, similar to the atomic and molecular decompositions of classical Herz-type Hardy spaces and the Hardy space associated with operators, we prove the...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2018/1296837 |
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| _version_ | 1832553319813349376 |
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| author | Yan Chai Yaoyao Han Kai Zhao |
| author_facet | Yan Chai Yaoyao Han Kai Zhao |
| author_sort | Yan Chai |
| collection | DOAJ |
| description | Suppose L is a nonnegative, self-adjoint differential operator. In this paper, we introduce the Herz-type Hardy spaces associated with operator L. Then, similar to the atomic and molecular decompositions of classical Herz-type Hardy spaces and the Hardy space associated with operators, we prove the atomic and molecular decompositions of the Herz-type Hardy spaces associated with operator L. As applications, the boundedness of some singular integral operators on Herz-type Hardy spaces associated with operators is obtained. |
| format | Article |
| id | doaj-art-2a25a9ec0858440d9b0a205196ddaa7e |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-2a25a9ec0858440d9b0a205196ddaa7e2025-02-03T05:54:11ZengWileyJournal of Function Spaces2314-88962314-88882018-01-01201810.1155/2018/12968371296837Herz-Type Hardy Spaces Associated with OperatorsYan Chai0Yaoyao Han1Kai Zhao2School of Mathematics and Statistics, Qingdao University, Qingdao 266071, ChinaSchool of Mathematics and Statistics, Qingdao University, Qingdao 266071, ChinaSchool of Mathematics and Statistics, Qingdao University, Qingdao 266071, ChinaSuppose L is a nonnegative, self-adjoint differential operator. In this paper, we introduce the Herz-type Hardy spaces associated with operator L. Then, similar to the atomic and molecular decompositions of classical Herz-type Hardy spaces and the Hardy space associated with operators, we prove the atomic and molecular decompositions of the Herz-type Hardy spaces associated with operator L. As applications, the boundedness of some singular integral operators on Herz-type Hardy spaces associated with operators is obtained.http://dx.doi.org/10.1155/2018/1296837 |
| spellingShingle | Yan Chai Yaoyao Han Kai Zhao Herz-Type Hardy Spaces Associated with Operators Journal of Function Spaces |
| title | Herz-Type Hardy Spaces Associated with Operators |
| title_full | Herz-Type Hardy Spaces Associated with Operators |
| title_fullStr | Herz-Type Hardy Spaces Associated with Operators |
| title_full_unstemmed | Herz-Type Hardy Spaces Associated with Operators |
| title_short | Herz-Type Hardy Spaces Associated with Operators |
| title_sort | herz type hardy spaces associated with operators |
| url | http://dx.doi.org/10.1155/2018/1296837 |
| work_keys_str_mv | AT yanchai herztypehardyspacesassociatedwithoperators AT yaoyaohan herztypehardyspacesassociatedwithoperators AT kaizhao herztypehardyspacesassociatedwithoperators |