Boundedness of composition operator in Orlicz-Morrey spaces
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866914752830111744 |
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| author | Ikeda, Masahiro Ishikawa, Isao Kawasumi, Ryota |
| author_facet | Ikeda, Masahiro Ishikawa, Isao Kawasumi, Ryota |
| contents | In this paper, we investigate necessary and sufficient conditions on the boundedness of composition operators on the Orlicz-Morrey spaces. The results of boundedness include Lebesgue and generalized Morrey spaces as special cases. Further, we characterize the boundedness of composition operators on the weak Orlicz-Morrey spaces. The weak Orlicz-Morrey spaces contain the Orlicz-Morrey spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_09839 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Boundedness of composition operator in Orlicz-Morrey spaces Ikeda, Masahiro Ishikawa, Isao Kawasumi, Ryota Functional Analysis 46E30, 42B35, 42B20, 42B25 In this paper, we investigate necessary and sufficient conditions on the boundedness of composition operators on the Orlicz-Morrey spaces. The results of boundedness include Lebesgue and generalized Morrey spaces as special cases. Further, we characterize the boundedness of composition operators on the weak Orlicz-Morrey spaces. The weak Orlicz-Morrey spaces contain the Orlicz-Morrey spaces. |
| title | Boundedness of composition operator in Orlicz-Morrey spaces |
| topic | Functional Analysis 46E30, 42B35, 42B20, 42B25 |
| url | https://arxiv.org/abs/2403.09839 |