arXiv Analytics

Sign in

arXiv:2402.04635 [math.FA]AbstractReferencesReviewsResources

Duality of Triebel-Lizorkin spaces of general weights

Douadi Drihem

Published 2024-02-07Version 1

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 $\varphi $-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.

Comments: arXiv admin note: substantial text overlap with arXiv:2106.00621, arXiv:2009.12223, arXiv:2212.03509
Categories: math.FA
Subjects: 42B25, 42B35, 46E35
Related articles: Most relevant | Search more
arXiv:2009.03636 [math.FA] (Published 2020-09-08)
Dilation in function spaces with general weights
arXiv:2109.07518 [math.FA] (Published 2021-09-15)
Interpolation inequalities in function spaces of Sobolev-Lorentz type
arXiv:1410.6327 [math.FA] (Published 2014-10-23)
$B_w^u$-function spaces and their interpolation

Links

Toolbox