On the duality of variable Triebel–Lizorkin spaces

• Autores: Douadi Drihem
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 71, Fasc. 2, 2020, págs. 263-278
• Idioma: inglés
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• Resumen

  • 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.