Abstract
The paper deals with the problem under which conditions for the parameters s_1,s_2in mathbb R, 1le p,q_1,q_2le infty the Fourier transform mathcal {F} is a nuclear mapping from A^{s_1}_{p,q_1}({mathbb R}^n) into A^{s_2}_{p,q_2}({mathbb R}^n), where Ain {B,F} stands for a space of Besov or Triebel–Lizorkin type, and nin mathbb N. It extends the recent paper ‘Mapping properties of Fourier transforms’ (Triebel in Z Anal Anwend 41(1/2):133–152, https://doi.org/10.4171/ZAA/1697, 2022) by the third-named author, where the compactness of mathcal {F} acting in the same type of spaces was studied.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
