Let $ \mathbb{G}$ denote be a homogeneous group, the authors introduce a type of weighted Hardy operators on homogeneous group and obtain their sharp bounds on central Morrey spaces and λ-central BMO spaces in the setting of homogeneous group. In addition, the authors obtain sufficient and necessary conditions of the weight functions so that the commutators of the weighted Hardy operators (with symbols in central BMO space) are bounded on the central Morrey spaces in the setting of homogeneous group.
CAO Jilong
,
HE Qianjun
,
YAN Dunyan
. Weighted Hardy operator and its commutators on homogeneous groups∗[J]. Journal of University of Chinese Academy of Sciences, 0
: 250328
.
DOI: 10.7523/j.ucas.2025.003
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