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

Wang, Hongbin ; Niu, Chenchen

Czechoslovak Mathematical Journal, Tome 74 (2024) no. 2, pp. 493-514

Abstract (VO)

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.

Détail

DOI : 10.21136/CMJ.2024.0431-23

Classification : 42B20, 42B35
Keywords: bilinear fractional Hardy operator; rough kernel; central Morrey space; variable exponent

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