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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2505.20709 |
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| _version_ | 1866915306217144320 |
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| author | Lu, Chen Li, Mingjin Long, Jianren |
| author_facet | Lu, Chen Li, Mingjin Long, Jianren |
| contents | On the one hand, the fractional order derivative characterization of the Besov-Morrey type space $B_{p}^{K}(s)$ is established by $K$-Carleson measures, and it was also shown that $f \in B_{p}^{K}(s_1) \Leftrightarrow f^{\left(\frac{s_2 - s_1}{p}\right)} \in B_{p}^{K}(s_2)$, which extended the results of Sun et al. on the fractional derivative of Morrey type space. On the other hand, some sufficient conditions for the growth of solutions to linear complex differential equations have been obtained by using $n$th derivative criterion. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_20709 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Fractional order derivative characterizations of Besov-Morrey type spaces with applications Lu, Chen Li, Mingjin Long, Jianren Complex Variables Primary 32A37, 32K15, Second 32M10 On the one hand, the fractional order derivative characterization of the Besov-Morrey type space $B_{p}^{K}(s)$ is established by $K$-Carleson measures, and it was also shown that $f \in B_{p}^{K}(s_1) \Leftrightarrow f^{\left(\frac{s_2 - s_1}{p}\right)} \in B_{p}^{K}(s_2)$, which extended the results of Sun et al. on the fractional derivative of Morrey type space. On the other hand, some sufficient conditions for the growth of solutions to linear complex differential equations have been obtained by using $n$th derivative criterion. |
| title | Fractional order derivative characterizations of Besov-Morrey type spaces with applications |
| topic | Complex Variables Primary 32A37, 32K15, Second 32M10 |
| url | https://arxiv.org/abs/2505.20709 |