On q²-analogue Sobolev type spaces

Authors

  • 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.

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Published

2015-11-05

Issue

Vol. 70 No. 2 (2015)

Section

Articoli

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