The maximal operator on variable Lebesgue spaces: an ${\mathcal A}_{\infty}$-characterization
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866917328271179776 |
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| author | Lerner, Andrei K. |
| author_facet | Lerner, Andrei K. |
| contents | In this paper we obtain a new boundedness criterion for the maximal operator $M$ on variable exponent spaces $L^{p(\cdot)}$. It is formulated in terms of the variable exponent analogue of the well known weighted $A_{\infty}$ condition. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_09388 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The maximal operator on variable Lebesgue spaces: an ${\mathcal A}_{\infty}$-characterization Lerner, Andrei K. Classical Analysis and ODEs Functional Analysis In this paper we obtain a new boundedness criterion for the maximal operator $M$ on variable exponent spaces $L^{p(\cdot)}$. It is formulated in terms of the variable exponent analogue of the well known weighted $A_{\infty}$ condition. |
| title | The maximal operator on variable Lebesgue spaces: an ${\mathcal A}_{\infty}$-characterization |
| topic | Classical Analysis and ODEs Functional Analysis |
| url | https://arxiv.org/abs/2603.09388 |