You are cordially invited to the Analysis Seminar organized by the Department of Mathematics.
Speaker: Büşra Arıs (Istanbul University)
”Dilation properties of Orlicz amalgam spaces”
Abstract: In Let Φ and ψ be Young functions with the corresponding Orlicz spaces X=LΦ(Rd) and Y=Lψ (Rd). We study dilation properties of the Orlicz amalgam spaces W(X,Y), where the local and global component spaces are X and Y, respectively. We extend the dilation results in classical amalgam spaces to the Orlicz amalgam space W(X,Y) and recover these results. Moreover, we obtain a sharper estimate than that given for classical amalgam spaces. In addition, we prove that the Zak transform is continuous on W(X,Y). Using it, we give the Amalgam Balian-Low theorem as a special case of Orlicz space results.
Date: Tuesday, November 26, 2024
Time: 14:00 – 15:00
Place: Mathematics Seminar Room SA – 141