Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 359
Algebra Properties in Fourier-Besov-Morrey Spaces and Their Applications
Achraf Azanzal, Chakir Allalou, Said Melliani
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 30, 2022
March 03, 2307
April 15, 2307

Abstract: The Fourier-Besov-Morrey spaces were introduced by [1,2,3] in the context of active scalar equations with fractional subcritical dissipation .Later, these spaces were employed to investigate the global well-posedness of the Navier-Stokes-Coriolis system in [4], also these spaces belongs to a class whose definition of the norm is based on Fourier transform, but it is not contained in L^2. In this communication, we present some properties and embddings in the framework of Fourier-Besov-Morrey and we will estimate the norm of the product of two scale functions in Fourier-Besov-Morrey spaces. ...