The boundedness on $ BMO_{L_\alpha} $ space of variation operators for semigroups related to the Laguerre operator

Autor: Fan Chen, Houwei Du, Jinglan Jia, Ping Li, Zhu Wen
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: AIMS Mathematics, Vol 9, Iss 8, Pp 22486-22499 (2024)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.20241093?viewType=HTML
Popis: 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 $.
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