Geodesic
Boundedness of Littlewood-Paley operators relative to non-isotropic dilations
Czechoslovak Mathematical Journal, Tome 69 (2019) no. 2, pp. 337-351.

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We consider Littlewood-Paley functions associated with a non-isotropic dilation group on $\Bbb R^n$. We prove that certain Littlewood-Paley functions defined by kernels with no regularity concerning smoothness are bounded on weighted $L^p$ spaces, $1$, with weights of the Muckenhoupt class. This, in particular, generalizes a result of N. Rivière (1971).\looseness -1
DOI : 10.21136/CMJ.2018.0313-17
Classification : 42B25, 46E30
Keywords: Littlewood-Paley function; non-isotropic dilation 
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     title = {Boundedness of {Littlewood-Paley} operators relative to non-isotropic dilations},
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Sato, Shuichi. Boundedness of Littlewood-Paley operators relative to non-isotropic dilations. Czechoslovak Mathematical Journal, Tome 69 (2019) no. 2, pp. 337-351. doi : 10.21136/CMJ.2018.0313-17. http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2018.0313-17/

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