Abstract
We discuss some questions on strong summability of Fourier series in the context of periodic generalized Morrey spaces. By using periodic Lizorkin–Triebel–Morrey spaces as well as periodic Nikol’skij–Besov–Morrey spaces we are able to derive some if and only if assertions in this field. In addition we derive some conclusions on the local regularity of functions in terms of generalized Holder–Zygmund spaces. Finally, we characterize the asymptotic behaviour of the approximation numbers with respect to the identity mapping from periodic Nikol’skij–Besov–Morrey spaces into the space of continuous functions.
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.
