Generalized Campanato Space Over Non-homogeneous Space and Its Applications
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
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| _version_ | 1866909196877824000 |
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| author | Zhang, Yuxun Zhou, Jiang |
| author_facet | Zhang, Yuxun Zhou, Jiang |
| contents | The authors introduce generalized Campanato space with regularized condition over non-homogeneous space, and study its basic properties including the John-Nirenberg inequality and equivalent characterizations. As applications, the boundedness of fractional type Marcinkiewicz integral operator and its commutator on generalized Morrey space over non-homogeneous space is obtained. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_05940 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Generalized Campanato Space Over Non-homogeneous Space and Its Applications Zhang, Yuxun Zhou, Jiang Functional Analysis 42B35, 42B20, 42B25, 30L15 The authors introduce generalized Campanato space with regularized condition over non-homogeneous space, and study its basic properties including the John-Nirenberg inequality and equivalent characterizations. As applications, the boundedness of fractional type Marcinkiewicz integral operator and its commutator on generalized Morrey space over non-homogeneous space is obtained. |
| title | Generalized Campanato Space Over Non-homogeneous Space and Its Applications |
| topic | Functional Analysis 42B35, 42B20, 42B25, 30L15 |
| url | https://arxiv.org/abs/2405.05940 |