Mixed-norm Herz-type Besov-Triebel-Lizorkin spaces
Functional Analysis
2024-07-15 v2
Abstract
Based on mixed-norm Herz spaces, Besov and Triebel-Lizorkin spaces, we introduce the so called mixed-norm Herz-type Besov-Triebel-Lizorkin spaces. We present the -transform characterization of these spaces in the sense of Frazier and Jawerth and we prove their Sobolev, Franke and Jawerth embeddings. Our embeddings extend and improve Sobolev, Franke and Jawerth embeddings of mixed-norm Besov and Triebel-Lizorkin spaces.
Keywords
Cite
@article{arxiv.2406.14727,
title = {Mixed-norm Herz-type Besov-Triebel-Lizorkin spaces},
author = {Douadi Drihem},
journal= {arXiv preprint arXiv:2406.14727},
year = {2024}
}
Comments
We add Franke and Jawerth embeddings for such spaces. arXiv admin note: substantial text overlap with arXiv:2406.02705