Weighted estimates for commutators of multilinear Hausdorff operators on variable exponent Morrey-Herz type spaces

Dao Van Duong; Kieu Huu Dung; Nguyen Minh Chuong

Czechoslovak Mathematical Journal (2020)

  • Volume: 70, Issue: 3, page 833-865
  • ISSN: 0011-4642

Abstract

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We establish the boundedness for the commutators of multilinear Hausdorff operators on the product of some weighted Morrey-Herz type spaces with variable exponent with their symbols belonging to both Lipschitz space and central BMO space. By these, we generalize and strengthen some previously known results.

How to cite

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Duong, Dao Van, Dung, Kieu Huu, and Chuong, Nguyen Minh. "Weighted estimates for commutators of multilinear Hausdorff operators on variable exponent Morrey-Herz type spaces." Czechoslovak Mathematical Journal 70.3 (2020): 833-865. <http://eudml.org/doc/297203>.

@article{Duong2020,
abstract = {We establish the boundedness for the commutators of multilinear Hausdorff operators on the product of some weighted Morrey-Herz type spaces with variable exponent with their symbols belonging to both Lipschitz space and central BMO space. By these, we generalize and strengthen some previously known results.},
author = {Duong, Dao Van, Dung, Kieu Huu, Chuong, Nguyen Minh},
journal = {Czechoslovak Mathematical Journal},
keywords = {multilinear Hausdorff operator; Hardy-Cesàro operator; commutator; Lipschitz space; central BMO space; Morrey-Herz space; $A_p$ weight; variable exponent},
language = {eng},
number = {3},
pages = {833-865},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Weighted estimates for commutators of multilinear Hausdorff operators on variable exponent Morrey-Herz type spaces},
url = {http://eudml.org/doc/297203},
volume = {70},
year = {2020},
}

TY - JOUR
AU - Duong, Dao Van
AU - Dung, Kieu Huu
AU - Chuong, Nguyen Minh
TI - Weighted estimates for commutators of multilinear Hausdorff operators on variable exponent Morrey-Herz type spaces
JO - Czechoslovak Mathematical Journal
PY - 2020
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 70
IS - 3
SP - 833
EP - 865
AB - We establish the boundedness for the commutators of multilinear Hausdorff operators on the product of some weighted Morrey-Herz type spaces with variable exponent with their symbols belonging to both Lipschitz space and central BMO space. By these, we generalize and strengthen some previously known results.
LA - eng
KW - multilinear Hausdorff operator; Hardy-Cesàro operator; commutator; Lipschitz space; central BMO space; Morrey-Herz space; $A_p$ weight; variable exponent
UR - http://eudml.org/doc/297203
ER -

References

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