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 Muckenhoupt weights.

中文翻译：

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与Hermite展开相关的函数空间的加权嵌入

我们研究与Hermite展开有关的加权Besov和Triebel-Lizorkin空间，并获得（i）框架分解和（ii）连续Sobolev型嵌入的特征。我们考虑的权重是对Muckenhoupt权重的概括。