Multiplication operators on amalgam of $l^{q), θ}$ and $L^{p}$
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908582131269632 |
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| author | Singh, Monika Kumar, Jitendra |
| author_facet | Singh, Monika Kumar, Jitendra |
| contents | We define the grand amalgam Lebesgue function space $l^{q), θ}(L^p),$ and study the fundamental structural properties of the space, including completeness. Then we define the small Lebesgue sequence space and study its function space properties. Furthermore, we prove a version of the Hölders inequality on the frame work of these spaces. Finally, we study the multiplication operator in the setting of these spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_07260 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Multiplication operators on amalgam of $l^{q), θ}$ and $L^{p}$ Singh, Monika Kumar, Jitendra Functional Analysis We define the grand amalgam Lebesgue function space $l^{q), θ}(L^p),$ and study the fundamental structural properties of the space, including completeness. Then we define the small Lebesgue sequence space and study its function space properties. Furthermore, we prove a version of the Hölders inequality on the frame work of these spaces. Finally, we study the multiplication operator in the setting of these spaces. |
| title | Multiplication operators on amalgam of $l^{q), θ}$ and $L^{p}$ |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2510.07260 |