English

Weighted embeddings for function spaces associated with Hermite expansions

Classical Analysis and ODEs 2021-01-11 v2

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.

Keywords

Cite

@article{arxiv.2003.11206,
  title  = {Weighted embeddings for function spaces associated with Hermite expansions},
  author = {The Anh Bui and Ji Li and Fu Ken Ly},
  journal= {arXiv preprint arXiv:2003.11206},
  year   = {2021}
}
R2 v1 2026-06-23T14:26:22.452Z