@article {98318,
	title = {Weighted variable Besov space associated with operators},
	journal = {Rendiconti del Circolo Matematico di Palermo Series 2},
	volume = {74},
	number = {26},
	year = {2025},
	abstract = {
	Let\&nbsp;(X,d,μ)\&nbsp;be a space of homogeneous type and\&nbsp;L\&nbsp;be a nonnegative self-adjoint operator on\&nbsp;L2(X)\&nbsp;whose heat kernels satisfy Gaussian upper bounds. In this article, we introduce the weighted variable Besov space associated with the operator\&nbsp;L\&nbsp;and demonstrate that Peetre maximal functions can be used to characterize this space. Furthermore, we provide a detailed study of its atomic decompositions.

},
	url = {https://link.springer.com/article/10.1007/s12215-024-01118-z},
	author = {Chichoune, Romaissa and Mokhtari, Zouhir and Saibi, Khedoudj}
}
