Dual Spaces of Multiparameter Local Hardy Spaces
In this paper, we study the duality theory of the multiparameter local Hardy spaces hpℝn1×ℝn2, and we prove that hpℝn1×ℝn2∗=cmopℝn1×ℝn2, where cmopℝn1×ℝn2 are defined by discrete Carleson measure. Moreover, we discuss the relationship among cmopℝn1×ℝn2, Lippℝn1×ℝn2, and rectangle cmorectpℝn1×ℝn2....
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/9619925 |
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| _version_ | 1832564049646190592 |
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| author | Wei Ding Feng Yu |
| author_facet | Wei Ding Feng Yu |
| author_sort | Wei Ding |
| collection | DOAJ |
| description | In this paper, we study the duality theory of the multiparameter local Hardy spaces hpℝn1×ℝn2, and we prove that hpℝn1×ℝn2∗=cmopℝn1×ℝn2, where cmopℝn1×ℝn2 are defined by discrete Carleson measure. Moreover, we discuss the relationship among cmopℝn1×ℝn2, Lippℝn1×ℝn2, and rectangle cmorectpℝn1×ℝn2. |
| format | Article |
| id | doaj-art-34edc5f870cd4501a3d43cfdeff935b0 |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-34edc5f870cd4501a3d43cfdeff935b02025-02-03T01:11:50ZengWileyJournal of Function Spaces2314-88882021-01-01202110.1155/2021/9619925Dual Spaces of Multiparameter Local Hardy SpacesWei Ding0Feng Yu1School of SciencesSchool of SciencesIn this paper, we study the duality theory of the multiparameter local Hardy spaces hpℝn1×ℝn2, and we prove that hpℝn1×ℝn2∗=cmopℝn1×ℝn2, where cmopℝn1×ℝn2 are defined by discrete Carleson measure. Moreover, we discuss the relationship among cmopℝn1×ℝn2, Lippℝn1×ℝn2, and rectangle cmorectpℝn1×ℝn2.http://dx.doi.org/10.1155/2021/9619925 |
| spellingShingle | Wei Ding Feng Yu Dual Spaces of Multiparameter Local Hardy Spaces Journal of Function Spaces |
| title | Dual Spaces of Multiparameter Local Hardy Spaces |
| title_full | Dual Spaces of Multiparameter Local Hardy Spaces |
| title_fullStr | Dual Spaces of Multiparameter Local Hardy Spaces |
| title_full_unstemmed | Dual Spaces of Multiparameter Local Hardy Spaces |
| title_short | Dual Spaces of Multiparameter Local Hardy Spaces |
| title_sort | dual spaces of multiparameter local hardy spaces |
| url | http://dx.doi.org/10.1155/2021/9619925 |
| work_keys_str_mv | AT weiding dualspacesofmultiparameterlocalhardyspaces AT fengyu dualspacesofmultiparameterlocalhardyspaces |