Dunkl-Sobolev spaces of exponential type and applications

Dunkl-Sobolev spaces of exponential type and applications

We study the Sobolev spaces of exponential type associated with the Dunkl operators. Some properties including completeness and imbedding theorem are proved. Next we introduce a classes of symbols of exponential type and the associated pseudo-differential-difference operators, which naturally act on...

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Main Author: Hatem Mejjaoli
Format: Article
Language:English
Published: Hindawi Limited 2011-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2011/728563
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spelling doaj-4952b64c5d714d2ca4e9f96cfa37f3662020-11-25T00:01:26ZengHindawi LimitedJournal of Function Spaces and Applications0972-68022011-01-0191416610.1155/2011/728563Dunkl-Sobolev spaces of exponential type and applicationsHatem Mejjaoli0Department of Mathematics, Faculty of sciences of Tunis, Campus 1060.Tunis, TunisiaWe study the Sobolev spaces of exponential type associated with the Dunkl operators. Some properties including completeness and imbedding theorem are proved. Next we introduce a classes of symbols of exponential type and the associated pseudo-differential-difference operators, which naturally act on the Dunkl-Sobolev spaces of exponential type. Finally using the theory of reproducing kernels some applications are given for these spaces.http://dx.doi.org/10.1155/2011/728563
collection DOAJ
language English
format Article
sources DOAJ
author Hatem Mejjaoli
spellingShingle Hatem Mejjaoli
Dunkl-Sobolev spaces of exponential type and applications
Journal of Function Spaces and Applications
author_facet Hatem Mejjaoli
author_sort Hatem Mejjaoli
title Dunkl-Sobolev spaces of exponential type and applications
title_short Dunkl-Sobolev spaces of exponential type and applications
title_full Dunkl-Sobolev spaces of exponential type and applications
title_fullStr Dunkl-Sobolev spaces of exponential type and applications
title_full_unstemmed Dunkl-Sobolev spaces of exponential type and applications
title_sort dunkl-sobolev spaces of exponential type and applications
publisher Hindawi Limited
series Journal of Function Spaces and Applications
issn 0972-6802
publishDate 2011-01-01
description We study the Sobolev spaces of exponential type associated with the Dunkl operators. Some properties including completeness and imbedding theorem are proved. Next we introduce a classes of symbols of exponential type and the associated pseudo-differential-difference operators, which naturally act on the Dunkl-Sobolev spaces of exponential type. Finally using the theory of reproducing kernels some applications are given for these spaces.
url http://dx.doi.org/10.1155/2011/728563
work_keys_str_mv AT hatemmejjaoli dunklsobolevspacesofexponentialtypeandapplications
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