@article{Qian2025, 
author = {Xiaoyu Qian and Jiang Zhou},
title = {Morrey spaces on weighted homogeneous trees},
year = {2025},
journal = {AIMS Mathematics},
volume = {10},
number = {4},
pages = {7664-7683},
keywords = {homogeneous tree, Morrey space, predual space, maximal operator, fractional maximal operator},
url = {https://www.sciopen.com/article/10.3934/math.2025351},
doi = {10.3934/math.2025351},
abstract = {In this paper, the authors construct the Morrey spaces              M              p              λ        (      V    ) on the metric measure spaces    (      V    ,  d  ,  μ  ) and explore their associated properties. Here,    (      V    ,  d  ,  μ  ) refers to metric measure spaces composed of infinite homogeneous trees    T equipped with the standard graph metric    d and a weighted measure    μ. As applications, the boundedness of the maximal operator and the fractional maximal operator related to admissible trapezoids on the Morrey spaces              M        p    λ    (      V    ) is established.}
}