Duality of Triebel-Lizorkin spaces of general weights
Functional Analysis
2024-02-08 v1
Abstract
In this paper, we identify the duals of Triebel-Lizorkin spaces of generalized smoothness. In some particular cases these function spaces are just weighted Triebel-Lizorkin spaces. To do these, we will be working at the level of sequence spaces. The -transform characterization of these function spaces in the sense of Frazier and Jawerth, and new weighted version of vector-valued maximal inequality of Fefferman and Stein are the main tools.
Keywords
Cite
@article{arxiv.2402.04635,
title = {Duality of Triebel-Lizorkin spaces of general weights},
author = {Douadi Drihem},
journal= {arXiv preprint arXiv:2402.04635},
year = {2024}
}
Comments
arXiv admin note: substantial text overlap with arXiv:2106.00621, arXiv:2009.12223, arXiv:2212.03509