Characterization of BMO spaces via commutators of fractional maximal function on Lorentz spaces
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866916362644881408 |
|---|---|
| author | Yang, Heng Zhou, Jiang |
| author_facet | Yang, Heng Zhou, Jiang |
| contents | Let $0 \leq α<n$ and $b$ be the locally integrable function. In this paper, we consider the maximal commutator of fractional maximal function $M_{b,α}$ and the nonlinear commutator of fractional maximal function $[b, M_α]$ on Lorentz spaces. We give some necessary and sufficient conditions for the boundedness of the commutators $M_{b,α}$ and $[b, M_α]$ on Lorentz spaces when the function $b$ belongs to BMO spaces, by which some new characterizations of certain subclasses of BMO spaces are obtained. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_10245 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Characterization of BMO spaces via commutators of fractional maximal function on Lorentz spaces Yang, Heng Zhou, Jiang Functional Analysis Let $0 \leq α<n$ and $b$ be the locally integrable function. In this paper, we consider the maximal commutator of fractional maximal function $M_{b,α}$ and the nonlinear commutator of fractional maximal function $[b, M_α]$ on Lorentz spaces. We give some necessary and sufficient conditions for the boundedness of the commutators $M_{b,α}$ and $[b, M_α]$ on Lorentz spaces when the function $b$ belongs to BMO spaces, by which some new characterizations of certain subclasses of BMO spaces are obtained. |
| title | Characterization of BMO spaces via commutators of fractional maximal function on Lorentz spaces |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2408.10245 |