Abstract
The main theme of this article is to obtain characterizations of B p,q -functions by the coefficients of certain lacunary series expansions in quaternionic sense. Moreover, we consider a scale of weighted spaces of quaternion-valued functions of three real variables. This scale generalizes the idea of Besov space in the complex function theory. Finally, we prove that the inclusions of spaces from the scale are strict inclusions.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
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.