Weinstein-Sobolev spaces of exponential type and applications

Authors
Mohamed, Hassen Ben Ghribi, Belgacem
Citation
Mohamed, Hassen Ben et Ghribi, Belgacem, Weinstein-Sobolev spaces of exponential type and applications, Acta mathematica Sinica. English series (Print) , 29(3), 2013, pp. 591-608
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
29
Issue
3
Year of publication
2013
Pages
591 - 608
Database
ACNP
SICI code
Abstract
In this paper, we introduce and study the Sobolev spaces of exponential type associated with the Weinstein operator, via some elements of harmonic analysis related to this operator. In particular, some properties, including completeness and imbedding theorem, are proved. Finally, using the theory of reproducing kernels, some applications are given for these spaces.