On q²-analogue Sobolev type spaces

On q²-analogue Sobolev type spaces

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 i...

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Veröffentlicht in:Matematiche 2015-12, Vol.70 (2), p.63-77
Hauptverfasser: Ahmed Saoudi, Ahmed Fitouhi
Format: Artikel
Sprache:eng
Schlagworte:
q2 -analogue Fourier analysis
q2 -analogue Soblev spaces
q2- analogue potential spaces
Rubin’s operator
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Zusammenfassung: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.
ISSN:0373-3505
2037-5298