On q²-analogue Sobolev type spaces

  • Ahmed Saoudi University of Tunis El Manar Faculty of Science Tunisia
  • Ahmed Fitouhi
Keywords: Rubin’s operator, q2 -analogue Fourier analysis, q2 -analogue Soblev spaces, q2- analogue potential spaces

Abstract

This paper is devoted to define the q^2-Sobolev type spaces on R_q by using the q^2-analogue Fourier transform and its inverse. In particular, we provide the readers for some embedding results with these spaces.The next part is devoted to the study of the related q^2-potential analysis and some of its properties.
Published
2015-11-05
Section
Articoli