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<p>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 <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\varphi \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>φ</mi> </math></EquationSource> </InlineEquation>-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.</p>

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Duality of Triebel–Lizorkin spaces of general weights

  • 期刊论文

  • 发表日期：

    2026年7月17日

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  • Douadi Drihem

摘要

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 \(\varphi \) φ -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.