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arXiv · 2402.04635

Duality of Triebel-Lizorkin spaces of general weights

Douadi Drihem
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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 $\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.

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BibTeXRIS

Douadi Drihem. 2024-02-07. Duality of Triebel-Lizorkin spaces of general weights. https://arxiv.org/abs/2402.04635

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