WEIGHTED ESTIMATES FOR MULTIVARIATE HAUSDORFF OPERATORS

In this paper, some weighted estimates for the multivariate Hausdorff operators are obtained. It is proved that the multivariate Hausdorff operators are bounded on LP spaces with power weights, which is based on the boundedness of multivariate Hausdorff operators on Herz spaces, and are bounded on w...

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Veröffentlicht in:	分析、理论与应用（英文版） 2012, Vol.28 (3), p.278-285
1. Verfasser:	Yanling Sun Yinsheng Jiang
Format:	Artikel
Sprache:	chi ; eng
Schlagworte:	f算子 Hausdorff Herz空间 LP空间加权估计同质化有界性运营商
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Zusammenfassung:	In this paper, some weighted estimates for the multivariate Hausdorff operators are obtained. It is proved that the multivariate Hausdorff operators are bounded on LP spaces with power weights, which is based on the boundedness of multivariate Hausdorff operators on Herz spaces, and are bounded on weighted LP spaces with the weights satisfying the homogeneity of degree zero.
ISSN:	1672-4070 1573-8175
DOI:	10.3969/j.issn.1672-4070.2012.03.008