The boundedness on $ BMO_{L_\alpha} $ space of variation operators for semigroups related to the Laguerre operator
Fan Chen,
Houwei Du,
Jinglan Jia
et al.
Abstract:<p>In this paper, we established a $ T1 $ criterion for the boundedness of Laguerre-Calderón-Zygmund operators on BMO$ _{L_{\alpha}}(0, \infty) $ associated with Laguerre operators $ L_\alpha(\alpha > -\frac{1}{2}) $. As applications, we proved the boundedness on BMO$ _{L_{\alpha}}(0, \infty) $ of variation operators for semigroups related to the Laguerre operator $ L_\alpha $.</p>
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