2024/02/07 by Drihem, Douadi
#42B35 #FOS: Mathematics #Functional Analysis (math.FA) #Primary: 42B25 #secondary: 46E35
paper · doi:10.48550/arxiv.2402.04635
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 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.