Czechoslovak Mathematical Journal, first online, pp. 1-22


Bilinear fractional Hardy-type operators with rough kernels on central Morrey spaces with variable exponents

Hongbin Wang, Chenchen Niu

Received September 20, 2023.   Published online February 16, 2024.

Abstract:  We introduce a type of $n$-dimensional bilinear fractional Hardy-type operators with rough kernels and prove the boundedness of these operators and their commutators on central Morrey spaces with variable exponents. Furthermore, the similar definitions and results of multilinear fractional Hardy-type operators with rough kernels are obtained.
Keywords:  bilinear fractional Hardy operator; rough kernel; central Morrey space; variable exponent
Classification MSC:  42B20, 42B35

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Affiliations:   Hongbin Wang (corresponding author), Chenchen Niu, School of Mathematics and Statistics, Shandong University of Technology, Zibo 255000, P. R. China, e-mail: hbwang_2006@163.com, ncc_8368@163.com


 
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