Abstract
Sufficient conditions for the boundedness of the convolution operator in Lp(Zm) are found. These conditions are imposed on the symbol of the operator in terms of the spaces Hα and Hβ (functions of bounded variation of order β). The results obtained here generalize the results of S. B. Stechkin and I. I. Hirschman [Ref. Zh. Mat.7, No. 7821 (I960)] for the one-dimensional case.
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 callMore From: Mathematical Notes of the Academy of Sciences of the USSR
Disclaimer: 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.
