@article{Asim2025, 
author = {Muhammad Asim and Ghada AlNemer},
title = {Novel insights into the precise boundedness and Lipschitz continuity of Hardy-type operators within central Morrey spaces},
year = {2025},
journal = {AIMS Mathematics},
volume = {10},
number = {10},
pages = {23547-23563},
keywords = {Hardy-type operators, sharp constants, Lipschitz space, weights},
url = {https://www.sciopen.com/article/10.3934/math.20251046},
doi = {10.3934/math.20251046},
abstract = {In this study, precise evaluations of the optimal constants associated with weighted weak-type Hardy inequalities are established. The analysis extends to the computation of the weak-type operator norm of the fractional Hardy operator within the framework of weighted central Morrey spaces. Furthermore, it is demonstrated that the commutators of the Hardy operator exhibit boundedness on these weighted central Morrey spaces when the symbol functions reside in the weighted Lipschitz space.}
}