The Weighted Grand Herz-Morrey-Lizorkin-Triebel Spaces with Variable Exponents
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866929720919064576 |
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| author | Wang, Shengrong Guo, Pengfei Xu, Jingshi |
| author_facet | Wang, Shengrong Guo, Pengfei Xu, Jingshi |
| contents | Let a vector-valued sublinear operator satisfy the size condition and be bounded on weighted Lebesgue spaces with variable exponent. Then we obtain its boundedness on weighted grand Herz-Morrey spaces with variable exponents. Next we introduce weighted grand Herz-Morrey-Triebel-Lizorkin spaces with variable exponents and provide their equivalent quasi-norms via maximal functions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_14015 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Weighted Grand Herz-Morrey-Lizorkin-Triebel Spaces with Variable Exponents Wang, Shengrong Guo, Pengfei Xu, Jingshi Functional Analysis Let a vector-valued sublinear operator satisfy the size condition and be bounded on weighted Lebesgue spaces with variable exponent. Then we obtain its boundedness on weighted grand Herz-Morrey spaces with variable exponents. Next we introduce weighted grand Herz-Morrey-Triebel-Lizorkin spaces with variable exponents and provide their equivalent quasi-norms via maximal functions. |
| title | The Weighted Grand Herz-Morrey-Lizorkin-Triebel Spaces with Variable Exponents |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2502.14015 |