English

Inclusion relations between Modulation and Triebel-Lizorkin spaces

Classical Analysis and ODEs 2016-09-20 v1

Abstract

In this paper, we obtain the sharp conditions of the inclusion relations between modulation spaces Mp,qsM_{p,q}^s and Triebel-Lizorkin spaces Fp,rF_{p,r} for p1p\leq 1, which greatly improve and extend the results for the embedding relations between local Hardy spaces and modulation spaces obtained by Kobayashi, Miyachi and Tomita in [Studia Math. 192 (2009), 79-96].

Cite

@article{arxiv.1609.05278,
  title  = {Inclusion relations between Modulation and Triebel-Lizorkin spaces},
  author = {Weichao Guo and Huoxiong Wu and Guoping Zhao},
  journal= {arXiv preprint arXiv:1609.05278},
  year   = {2016}
}
R2 v1 2026-06-22T15:52:44.020Z