Year: 2025
Type: article
Abstract: In this paper, the authors construct the Morrey spaces $ \mathcal{M}^{\lambda}_{p}(\mathcal{V}) $ on the metric measure spaces $ (\mathcal{V}, d, \mu) $ and explore their associated properties. Here, $ (\mathcal{V}, d, \mu) $ refers to metric measure spaces composed of infinite homogeneous trees $ T $ equipped with the standard graph metric $ d $ and a weighted measure $ \mu $. As applications, the boundedness of the maximal operator and the fractional maximal operator related to admissible trapezoids on the Morrey spaces $\mathcal{M}^\lambda_p(\mathcal{V})$ is established.
Source: AIMS Mathematics
DOI: 10.3934/math.2025351
Authors: Xiaoyu Qian, Jiang Zhou
Institution: Xinjiang University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $1,200
Award: G1551887273
OpenAlex ID: W4409063551