<?xml version="1.0" encoding="UTF-8"?><xml><records><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Chichoune, Romaissa</style></author><author><style face="normal" font="default" size="100%">Mokhtari, Zouhir</style></author><author><style face="normal" font="default" size="100%">Saibi, Khedoudj</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Weighted variable Besov space associated with operators</style></title><secondary-title><style face="normal" font="default" size="100%">Rendiconti del Circolo Matematico di Palermo Series 2</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2025</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://link.springer.com/article/10.1007/s12215-024-01118-z</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">74</style></volume><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p style=&quot;text-align: justify;&quot;&gt;
	Let&amp;nbsp;(X,d,μ)&amp;nbsp;be a space of homogeneous type and&amp;nbsp;&lt;i&gt;L&lt;/i&gt;&amp;nbsp;be a nonnegative self-adjoint operator on&amp;nbsp;L2(X)&amp;nbsp;whose heat kernels satisfy Gaussian upper bounds. In this article, we introduce the weighted variable Besov space associated with the operator&amp;nbsp;&lt;i&gt;L&lt;/i&gt;&amp;nbsp;and demonstrate that Peetre maximal functions can be used to characterize this space. Furthermore, we provide a detailed study of its atomic decompositions.
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</style></abstract><issue><style face="normal" font="default" size="100%">26</style></issue></record></records></xml>