Function spaces with exponential weights II

This paper is a continuation of [8]. We study weighted function Spaces of t ype B-pq(s)(u) and F-pq(s)(u) on the Euclidean space IRn, where u is a weig ht function of at most exponential growth. In particular, u(x) exp(+/-\x\) is an admissible weight. We deal with atomic decompositions of these spaces . Furthermore, we prove that the spaces B-pq(s)(u) and F-pq(s)(u) are isomo rphic to the corresponding unweighted spaces B-pq(s) and F-pq(s).