\(d\)-modified Riesz potentials on central Campanato spaces (Q1980925)

Let \(\widetilde{I}_{\alpha,d}\) be the \(d\)-modified Riesz potential on \(\mathbb R^n\) (of order \(\alpha\)). Note that the boundedness of the \(d\)-modified Riesz potential \(\widetilde{I}_{\alpha,d}\) on the central Morrey spaces \(B^{p,\lambda}(\mathbb R^n)\) is well-known. In this paper, the author proves the boundedness of \(\widetilde{I}_{\alpha,d}\) on the \(\lambda\)-central mean oscillation spaces \(\mathrm{CMO}^{p,\lambda}(\mathbb R^n)\). For the entire collection see [Zbl 1471.47002].