Some estimates for commutators of the fractional maximal function on stratified Lie groups
Abstract In this paper, the main aim is to consider the boundedness of the nonlinear commutator [ b , M α ] $[b, M_{\alpha}]$ and the maximal commutator M α , b $M_{\alpha ,b}$ on the Lebesgue spaces over some stratified Lie group G $\mathbb{G}$ when the symbol b belongs to the Lipschitz space. As a...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2023-09-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13660-023-03037-6 |
| Summary: | Abstract In this paper, the main aim is to consider the boundedness of the nonlinear commutator [ b , M α ] $[b, M_{\alpha}]$ and the maximal commutator M α , b $M_{\alpha ,b}$ on the Lebesgue spaces over some stratified Lie group G $\mathbb{G}$ when the symbol b belongs to the Lipschitz space. As a result, some new characterizations of the Lipschitz spaces on Lie group via [ b , M α ] $[b, M_{\alpha}]$ and M α , b $M_{\alpha ,b}$ are given. |
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| ISSN: | 1029-242X |