Resumen de On the duality of variable Triebel–Lizorkin spaces

Douadi Drihem

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