Geodesic
Hausdorff operator on Morrey spaces and Campanato spaces
Czechoslovak Mathematical Journal, Tome 70 (2020) no. 2, pp. 505-517.

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We study the high-dimensional Hausdorff operators on the Morrey space and on the Campanato space. We establish their sharp boundedness on these spaces. Particularly, our results solve an open question posted by E. Liflyand (2013).
DOI : 10.21136/CMJ.2019.0386-18
Classification : 42B30, 42B35, 46E30
Keywords: Hausdorff operator; Morrey space; Campanato space 
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Ruan, Jianmiao; Fan, Dashan; Li, Hongliang. Hausdorff operator on Morrey spaces and Campanato spaces. Czechoslovak Mathematical Journal, Tome 70 (2020) no. 2, pp. 505-517. doi : 10.21136/CMJ.2019.0386-18. http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2019.0386-18/

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