Weighted modulation space M-p,q(s)(w) with w is an element of A(infinity)(loc)

摘要

In the present paper, we present a natural extension of the modulation spaces M-p,q(s) with 0 < p < infinity, 0 < q <= infinity and s is an element of R. The weight we take up here belongs to the class A(infinity)(loc), which is even wider and contains weights of exponential growth. After defining the function spaces, we investigate their atomic and molecular decomposition as well as some elementary properties. (c) 2008 Published by Elsevier Inc.