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Embeddings of doubling weighted Besov spaces

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Haroske D., Skandera P.

Banach Center Publications

2014

tom 102

nr 1

105-119

We study continuous embeddings of Besov spaces of type $B_{p,q}^s(ℝⁿ,w)$, where s ∈ ℝ, 0 < p < ∞, 0 < q ≤ ∞, 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.

Ograniczanie wyników

1 Banach Center Publications

1 Haroske D.

1 Skandera P.

1 2014

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Embeddings of doubling weighted Besov spaces