The molecular characterization of anisotropic Herz-type Hardy spaces with two variable exponents
In this article, the authors establish the characterizations of a class of anisotropic Herz-type Hardy spaces with two variable exponents associated with a non-isotropic dilation on ℝn{{\mathbb{R}}}^{n} in terms of molecular decompositions. Using the molecular decompositions, the authors obtain the...
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De Gruyter
2020-05-01
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| Series: | Open Mathematics |
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| Online Access: | https://doi.org/10.1515/math-2020-0031 |
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doaj-7f91e706dce84314828cb5eb97c4ae8c2021-09-06T19:20:12ZengDe GruyterOpen Mathematics2391-54552020-05-0118143444710.1515/math-2020-0031math-2020-0031The molecular characterization of anisotropic Herz-type Hardy spaces with two variable exponentsGuo Qingdong0Wang Wenhua1College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, P. R. ChinaCollege of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, P. R. ChinaIn this article, the authors establish the characterizations of a class of anisotropic Herz-type Hardy spaces with two variable exponents associated with a non-isotropic dilation on ℝn{{\mathbb{R}}}^{n} in terms of molecular decompositions. Using the molecular decompositions, the authors obtain the boundedness of the central δ-Calderón-Zygmund operators on the anisotropic Herz-type Hardy space with two variable exponents.https://doi.org/10.1515/math-2020-0031anisotropic herz-type hardy spacetwo variable exponentsmolecular decompositioncentral δ-calderón-zygmund operatorboundednessprimary: 42b30secondary: 42b3546e30 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Guo Qingdong Wang Wenhua |
| spellingShingle |
Guo Qingdong Wang Wenhua The molecular characterization of anisotropic Herz-type Hardy spaces with two variable exponents Open Mathematics anisotropic herz-type hardy space two variable exponents molecular decomposition central δ-calderón-zygmund operator boundedness primary: 42b30 secondary: 42b35 46e30 |
| author_facet |
Guo Qingdong Wang Wenhua |
| author_sort |
Guo Qingdong |
| title |
The molecular characterization of anisotropic Herz-type Hardy spaces with two variable exponents |
| title_short |
The molecular characterization of anisotropic Herz-type Hardy spaces with two variable exponents |
| title_full |
The molecular characterization of anisotropic Herz-type Hardy spaces with two variable exponents |
| title_fullStr |
The molecular characterization of anisotropic Herz-type Hardy spaces with two variable exponents |
| title_full_unstemmed |
The molecular characterization of anisotropic Herz-type Hardy spaces with two variable exponents |
| title_sort |
molecular characterization of anisotropic herz-type hardy spaces with two variable exponents |
| publisher |
De Gruyter |
| series |
Open Mathematics |
| issn |
2391-5455 |
| publishDate |
2020-05-01 |
| description |
In this article, the authors establish the characterizations of a class of anisotropic Herz-type Hardy spaces with two variable exponents associated with a non-isotropic dilation on ℝn{{\mathbb{R}}}^{n} in terms of molecular decompositions. Using the molecular decompositions, the authors obtain the boundedness of the central δ-Calderón-Zygmund operators on the anisotropic Herz-type Hardy space with two variable exponents. |
| topic |
anisotropic herz-type hardy space two variable exponents molecular decomposition central δ-calderón-zygmund operator boundedness primary: 42b30 secondary: 42b35 46e30 |
| url |
https://doi.org/10.1515/math-2020-0031 |
| work_keys_str_mv |
AT guoqingdong themolecularcharacterizationofanisotropicherztypehardyspaceswithtwovariableexponents AT wangwenhua themolecularcharacterizationofanisotropicherztypehardyspaceswithtwovariableexponents AT guoqingdong molecularcharacterizationofanisotropicherztypehardyspaceswithtwovariableexponents AT wangwenhua molecularcharacterizationofanisotropicherztypehardyspaceswithtwovariableexponents |
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1717777081263194112 |