论文部分内容阅读
We introduce Besov spaces with variable smoothness and integrability by using the continuous version of Calder(o)n reproducing formula. We show that our s-pace is well-defined, i.e., independent of the choice of basis functions. We characterize these function spaces by so-called Peetre maximal functions and we obtain the Sobolev embeddings for these function spaces. We use these results to prove the atomic decom-position for these spaces.