Boundedness of vector-valued sublinear operators on Herz-Morrey spaces with variable exponent

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A note on the boundedness of sublinear operators on grand variable Herz spaces (2020, background): “Herz spaces with variables exponent have been recently introduced in [1, 12, 13].”
A new framework for generalized Besov-type and Triebel-Lizorkin-type spaces (2012, unknown): “The following is shown by Izuki [28], which is (L8) of this case.”