Grand weighted variable Herz-Morrey spaces estimate for some operators
In this paper, we established the boundedness of higher-order commutators $ I_{\beta, b}^{m} $ generated by the fractional integral operator with BMO functions on grand weighted variable-exponent Herz-Morrey spaces $ \mathrm{M\dot{K}}_{\lambda, p(\cdot)}^{\alpha, r), \theta}(\omega) $. We also obtai...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2025-03-01
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| Series: | Communications in Analysis and Mechanics |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/cam.2025012 |
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| Summary: | In this paper, we established the boundedness of higher-order commutators $ I_{\beta, b}^{m} $ generated by the fractional integral operator with BMO functions on grand weighted variable-exponent Herz-Morrey spaces $ \mathrm{M\dot{K}}_{\lambda, p(\cdot)}^{\alpha, r), \theta}(\omega) $. We also obtained the boundedness of the $ m- $order multilinear fractional Hardy operator $ \mathcal{H}_{\beta, m} $ and its adjoint operator $ \mathcal{H}^{\ast}_{\beta, m} $ on weighted variable-exponent Herz-Morrey spaces $ \mathrm{M\dot{K}}_{q, p(\cdot)}^{\alpha, \lambda}(\omega) $. |
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| ISSN: | 2836-3310 |