arXiv:2611.05628v1 Announce Type: new Abstract: Fofana spaces, introduced in the framework of Wiener amalgam spaces, can be viewed as generalizations of Morrey spaces. These spaces have attracted considerable attention in recent years and have found applications in the study of partial differential equations. In this paper, we investigate their variable-exponent counterparts. More specifically, we describe Calder\'{o}n's, first and second, complex interpolations of Fofana spaces with variable exponent, as well as the corresponding interpolation spaces of their preduals. Our results recover, as special cases, those already known for (classical) Fofana and Morrey spaces.
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