Embedding properties of weighted Besov-type spaces
2015 ◽
Vol 13
(05)
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pp. 507-553
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Keyword(s):
In this paper, we consider the embeddings of weighted Besov spaces [Formula: see text] into Besov-type spaces [Formula: see text] 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.
2016 ◽
Vol 146
(5)
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pp. 905-927
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Keyword(s):
2017 ◽
Vol 60
(3)
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pp. 655-672
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Keyword(s):
2017 ◽
Vol E100.A
(9)
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pp. 2013-2020