Fractional integral operators on the mixed $λ$-central central Morrey spaces

In this paper, the authors define the mixed $λ$-central Morrey spaces and the mixed $λ$-central $BMO$ spaces. The boundedness of the fractional integral operators $T_α$ and its commutators $[b, T_α]$ are established on the mixed $λ$-central Morrey spaces, respectively. Furthermore, we also extend these results to the generalized mixed central Morrey spaces.

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