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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Main Authors: Ahmed Saoudi, Ahmed Fitouhi
Format: Article
Language:English
Published: Università degli Studi di Catania 2015-12-01
Series:Le Matematiche
Subjects:
Rubin’s operator
q2 -analogue Fourier analysis
q2 -analogue Soblev spaces
q2- analogue potential spaces
Online Access:http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/1151
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spelling doaj-4ec15456a6914ae6848b666c1a5032b92020-11-25T02:34:40ZengUniversità degli Studi di CataniaLe Matematiche0373-35052037-52982015-12-017026377948On q²-analogue Sobolev type spacesAhmed Saoudi0Ahmed FitouhiUniversity of Tunis El Manar Faculty of Science TunisiaThis 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.http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/1151Rubin’s operatorq2 -analogue Fourier analysisq2 -analogue Soblev spacesq2- analogue potential spaces
collection DOAJ
language English
format Article
sources DOAJ
author Ahmed Saoudi
Ahmed Fitouhi
spellingShingle Ahmed Saoudi
Ahmed Fitouhi
On q²-analogue Sobolev type spaces
Le Matematiche
Rubin’s operator
q2 -analogue Fourier analysis
q2 -analogue Soblev spaces
q2- analogue potential spaces
author_facet Ahmed Saoudi
Ahmed Fitouhi
author_sort Ahmed Saoudi
title On q²-analogue Sobolev type spaces
title_short On q²-analogue Sobolev type spaces
title_full On q²-analogue Sobolev type spaces
title_fullStr On q²-analogue Sobolev type spaces
title_full_unstemmed On q²-analogue Sobolev type spaces
title_sort on q²-analogue sobolev type spaces
publisher Università degli Studi di Catania
series Le Matematiche
issn 0373-3505
2037-5298
publishDate 2015-12-01
description 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.
topic Rubin’s operator
q2 -analogue Fourier analysis
q2 -analogue Soblev spaces
q2- analogue potential spaces
url http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/1151
work_keys_str_mv AT ahmedsaoudi onq2analoguesobolevtypespaces
AT ahmedfitouhi onq2analoguesobolevtypespaces
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