@article{Liu2025, 
author = {Hongbin Liu and Juan Zhang and Qianjun He},
title = {Sharp weak bounds for fractional Hardy-type operators on homogeneous groups},
year = {2025},
journal = {AIMS Mathematics},
volume = {10},
number = {10},
pages = {23292-23305},
keywords = {homogeneous group, fractional Hardy-type operators, sharp weak bounds, central Morrey spaces, weighted estimates},
url = {https://www.sciopen.com/article/10.3934/math.20251033},
doi = {10.3934/math.20251033},
abstract = {In this paper, we establish weak bounds for fractional Hardy operators on central Morrey spaces within the framework of homogeneous groups. We provide precise operator norms and investigate weak bounds for Hardy operators on central Morrey spaces with power weights. These results significantly extend previous findings in the study of Hardy-type operators and contribute to a broader understanding of their behavior in more general settings, particularly within homogeneous groups.}
}