Hausdorff operator on Morrey spaces and Campanato spaces

Jianmiao Ruan; Dashan Fan; Hongliang Li

Czechoslovak Mathematical Journal (2020)

  • Volume: 70, Issue: 2, page 505-517
  • ISSN: 0011-4642

Abstract

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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).

How to cite

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Ruan, Jianmiao, Fan, Dashan, and Li, Hongliang. "Hausdorff operator on Morrey spaces and Campanato spaces." Czechoslovak Mathematical Journal 70.2 (2020): 505-517. <http://eudml.org/doc/297178>.

@article{Ruan2020,
abstract = {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).},
author = {Ruan, Jianmiao, Fan, Dashan, Li, Hongliang},
journal = {Czechoslovak Mathematical Journal},
keywords = {Hausdorff operator; Morrey space; Campanato space},
language = {eng},
number = {2},
pages = {505-517},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Hausdorff operator on Morrey spaces and Campanato spaces},
url = {http://eudml.org/doc/297178},
volume = {70},
year = {2020},
}

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
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 70
IS - 2
SP - 505
EP - 517
AB - 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).
LA - eng
KW - Hausdorff operator; Morrey space; Campanato space
UR - http://eudml.org/doc/297178
ER -

References

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