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arXiv · 2003.11206

Weighted embeddings for function spaces associated with Hermite expansions

The Anh Bui·Ji Li·Fu Ken Ly
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Abstract

We study weighted Besov and Triebel--Lizorkin spaces associated with Hermite expansions and obtain (i) frame decompositions, and (ii) characterizations of continuous Sobolev-type embeddings. The weights we consider generalize the Muckhenhoupt weights.

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The Anh Bui, Ji Li, Fu Ken Ly. 2020-03-25. Weighted embeddings for function spaces associated with Hermite expansions. https://doi.org/10.1016/j.jat.2020.105534

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