Pre-dual of Fofana's spaces

Abstract

It is the purpose of this paper to give a characterization of the pre-dual of the spaces introduced by I.~Fofana on the basis of Wiener amalgam spaces. Those spaces have a specific dilation behaviour similar to the spaces $L^{\alpha }({\mathbb{R}}^d)$. The characterization of the pre-dual will be based on the idea of minimal invariant spaces (with respect to such a group of dilation operators).

13 pages. We fixed some typos and added a conclusion paragraph. To appear in "Mathematics"

References in corpus (1)

• Integrable fractional mean functions on spaces of homogeneous type