Abstract
For function spaces equipped with Muckenhoupt weights, the validity of continuous Sobolev embeddings in case \({p_0 \leq p_1}\) is characterized. Extensions to Jawerth–Franke embeddings, vector-valued spaces, and examples involving some prominent weights are also provided.
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M. Veraar was supported by VIDI subsidy 639.032.427 of the Netherlands Organisation for Scientific Research (NWO).
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Meyries, M., Veraar, M. Characterization of a class of embeddings for function spaces with Muckenhoupt weights. Arch. Math. 103, 435–449 (2014). https://doi.org/10.1007/s00013-014-0706-5
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DOI: https://doi.org/10.1007/s00013-014-0706-5