PreprintarXiv licencearXiv
Mixed-norm Herz-type Triebel-Lizorkin spaces
Abstract
Based on mixed-norm Herz spaces, we introduce a new class of mixed-norm Herz-type Triebel-Lizorkin spaces. We establish their φ-transform characterization in the sense of Frazier and Jawerth and prove Sobolev embedding theorems for these spaces. The resulting embedding theorems extend and improve several known results for mixed-norm Triebel-Lizorkin spaces.
Related
- Triebel - Lizorkin spaces of dominating mixed smoothness are algebras with respect to pointwise multiplication
- Besov and Triebel--Lizorkin Spaces on Filtered Lie Groups, III: the Spaces F∞,qα
- Besov and Triebel--Lizorkin Spaces on Filtered Lie Groups, II: Pointwise Multiplication, Localization, Differences
- On Besov and Triebel-Lizorkin spaces associated with the Grushin operator
- Besov and Triebel--Lizorkin Spaces on Filtered Lie Groups with Polynomial Growth, I: Inclusions, Discretization, Duality
BibTeX
@misc{drihem2026mixednorm,
title = {{Mixed-norm Herz-type Triebel-Lizorkin spaces}},
author = {Douadi Drihem},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.33618},
eprint = {2610.33618},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.33618},
}
RIS
TY - UNPB
TI - Mixed-norm Herz-type Triebel-Lizorkin spaces
AU - Douadi Drihem
PY - 2026
DA - 2026/10/24
PB - arXiv
DO - 10.48550/arxiv.2610.33618
UR - https://arxiv.org/abs/2610.33618
AB - Based on mixed-norm Herz spaces, we introduce a new class of mixed-norm Herz-type Triebel-Lizorkin spaces. We establish their φ-transform characterization in the sense of Frazier and Jawerth and prove Sobolev embedding theorems for these spaces. The resulting embedding theorems extend and improve several known results for mixed-norm Triebel-Lizorkin spaces.
ER -