Some constructive criteria of optimal embeddings for potentials

In this article, we study the spaces of potentials in n-dimensional Euclidean space. They are constructed on the basis of rearrangement invariant spaces (RISs) by means of convolutions with kernels of general forms. We establish the constructive criteria for embeddings of potentials in RISs and describe explicitly optimal RISs for such embeddings. © 2011 Taylor & Francis.