In this paper, we calculate the norm of the Hausdorff operator $\mathscr{H}_Φ$ defined on the Morrey space with power weights Lp,λ($\mathbb{R}^n$,|x|αdx) and the homogeneous central Morrey space with power weights $\dot B$p,λ($\mathbb{R}^n$,|x|αdx), respectively. We also extend our results to the product Hausdorff operator $\mathscr{H}$Φm.
ZHANG Xingsong
,
WEI Mingquan
,
YAN Dunyan
. Sharp bound of Hausdorff operators on Morrey spaces with power weights[J]. Journal of University of Chinese Academy of Sciences, 2021
, 38(5)
: 577
-582
.
DOI: 10.7523/j.issn.2095-6134.2021.05.001
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