Embedding properties of weighted Besov-type spaces

作者：Yuan, Wen; Haroske, Dorothee D.; Skrzypczak, Leszek; Yang, Dachun^*

来源：Analysis and Applications, 2015, 13(5): 507-553.

DOI：10.1142/S0219530514500493

• Besov space
• Besov-type space
• embedding
• weight
• compactness

In this paper, we consider the embeddings of weighted Besov spaces B-p1,(s1)(q1) (w) into Besov-type spaces B-p2,q2(s2,tau) (R-n) with w being a (local) Muckenhoupt weight, and give sufficient and necessary conditions on the continuity and the compactness of these embeddings. As special cases, we characterize the continuity and the compactness of embeddings in case of some polynomial or exponential weights. The proofs of these conclusions strongly depend on the geometric properties of dyadic cubes.

• 出版日期2015-9
• 单位北京师范大学