Embeddings of doubling weighted Besov spaces
Tom 102 / 2014
Banach Center Publications 102 (2014), 105-119
MSC: Primary 46E35.
DOI: 10.4064/bc102-0-7
Streszczenie
We study continuous embeddings of Besov spaces of type , where s\in\mathbb{R}, 0< p< \infty, 0< q\leq\infty, and the weight w is doubling. This approach generalises recent results about embeddings of Muckenhoupt weighted Besov spaces. Our main argument relies on appropriate atomic decomposition techniques of such weighted spaces; here we benefit from earlier results by Bownik. In addition, we discuss some other related weight classes briefly and compare corresponding results.
