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
Keywords: Hausdorff operator; Morrey space; Campanato space
@article{10_21136_CMJ_2019_0386_18,
author = {Ruan, Jianmiao and Fan, Dashan and Li, Hongliang},
title = {Hausdorff operator on {Morrey} spaces and {Campanato} spaces},
journal = {Czechoslovak Mathematical Journal},
pages = {505--517},
publisher = {mathdoc},
volume = {70},
number = {2},
year = {2020},
doi = {10.21136/CMJ.2019.0386-18},
mrnumber = {4111856},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2019.0386-18/}
}
TY - JOUR AU - Ruan, Jianmiao AU - Fan, Dashan AU - Li, Hongliang TI - Hausdorff operator on Morrey spaces and Campanato spaces JO - Czechoslovak Mathematical Journal PY - 2020 SP - 505 EP - 517 VL - 70 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2019.0386-18/ DO - 10.21136/CMJ.2019.0386-18 LA - en ID - 10_21136_CMJ_2019_0386_18 ER -
%0 Journal Article %A Ruan, Jianmiao %A Fan, Dashan %A Li, Hongliang %T Hausdorff operator on Morrey spaces and Campanato spaces %J Czechoslovak Mathematical Journal %D 2020 %P 505-517 %V 70 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2019.0386-18/ %R 10.21136/CMJ.2019.0386-18 %G en %F 10_21136_CMJ_2019_0386_18
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
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