Czechoslovak Mathematical Journal, Vol. 70, No. 3, pp. 833-865, 2020


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

Dao Van Duong, Kieu Huu Dung, Nguyen Minh Chuong

Received December 23, 2018.   Published online February 28, 2020.

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.
Keywords:  multilinear Hausdorff operator; Hardy-Cesàro operator; commutator; Lipschitz space; central BMO space; Morrey-Herz space; $A_p$ weight; variable exponent
Classification MSC:  42B30, 42B35, 47B38
DOI:  10.21136/CMJ.2020.0566-18

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Affiliations:   Dao Van Duong (corresponding author), School of Mathematics, Mientrung University of Civil Engineering, No. 24 Nguyen Du Street, Ward 7, Tuy Hoa City, Phu Yen Province, Vietnam, e-mail: daovanduong@muce.edu.vn; Kieu Huu Dung, School of Mathematics, University of Transport and Communications, No. 3 Cau Giay Street, Lang Thuong ward, Dong Da District, Hanoi, Vietnam, e-mail: khdung@utc2.edu.vn; Nguyen Minh Chuong, Institute of Mathematics, Vietnamese Academy of Science and Technology, 18 Hoang Quoc Viet Road, Building A5, Cau Giay, Hanoi, Vietnam, e-mail: nmchuong@math.ac.vn


 
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