Lorentz Herz-type Besov-Triebel-Lizorkin spaces
Functional Analysis
2024-10-15 v3
Abstract
In this paper, we introduce a new family of function spaces of Besov and Triebel-Lizorkin type. We present the -transform characterization of these spaces in the sense of Frazier and Jawerth and we prove their Sobolev and Franke-Jewarth embeddings. Also, we establish the smooth atomic, molecular and wavelet decomposition of these function spaces. Characterizations by ball means of differences are given. Finally, we investigate a series of examples which play an important role in the study of function spaces of Besov-Triebel-Lizorkin type.
Keywords
Cite
@article{arxiv.2406.02705,
title = {Lorentz Herz-type Besov-Triebel-Lizorkin spaces},
author = {Douadi Drihem},
journal= {arXiv preprint arXiv:2406.02705},
year = {2024}
}