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arXiv · 1506.01642

On the duality of variable Triebel-Lizorkin spaces

Douadi Drihem
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Abstract

The aim of this paper is to prove duality of Triebel-Lizorkin spaces $% F_{1,q\left( \cdot \right) }^{\alpha \left( \cdot \right) }$. First, we prove the duality of associated sequence spaces. Then from the so-called $% \varphi $-transform characterization in the sense of Frazier and Jawerth, we deduce the main result of this paper.

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Douadi Drihem. 2015-06-04. On the duality of variable Triebel-Lizorkin spaces. https://arxiv.org/abs/1506.01642

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