Anisotropic grand Herz type spaces with variable exponents and their applications
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866910539001626624 |
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| author | Wang, Hongbin Liu, Zongguang |
| author_facet | Wang, Hongbin Liu, Zongguang |
| contents | In this paper, we introduce some anisotropic grand Herz type spaces with variable exponents, including anisotropic grand Herz spaces, anisotropic grand Herz-Morrey spaces and anisotropic grand Herz-type Hardy spaces with variable exponents. We obtain some properties and characterizations of these spaces in terms of some decompositions. Using their decompositions, we obtain some boundedness on the anisotropic grand Herz type spaces with variable exponents for some singular integral operators. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_16360 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Anisotropic grand Herz type spaces with variable exponents and their applications Wang, Hongbin Liu, Zongguang Functional Analysis Classical Analysis and ODEs In this paper, we introduce some anisotropic grand Herz type spaces with variable exponents, including anisotropic grand Herz spaces, anisotropic grand Herz-Morrey spaces and anisotropic grand Herz-type Hardy spaces with variable exponents. We obtain some properties and characterizations of these spaces in terms of some decompositions. Using their decompositions, we obtain some boundedness on the anisotropic grand Herz type spaces with variable exponents for some singular integral operators. |
| title | Anisotropic grand Herz type spaces with variable exponents and their applications |
| topic | Functional Analysis Classical Analysis and ODEs |
| url | https://arxiv.org/abs/2407.16360 |