Dunkl‐Sobolev spaces of exponential type and applications | Zendy

Hatem Mejjaolı | Zendy

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Dunkl‐Sobolev spaces of exponential type and applications

Author(s) -

Hatem Mejjaolı

Publication year - 2011

Publication title -

journal of function spaces

Language(s) - English

Resource type - Journals

eISSN - 2314-8896

pISSN - 2314-8888

DOI - 10.1155/2011/728563

Subject(s) - sobolev space , mathematics , exponential type , exponential function , type (biology) , sobolev inequality , pure mathematics , completeness (order theory) , interpolation space , birnbaum–orlicz space , sobolev spaces for planar domains , mathematical analysis , functional analysis , ecology , biochemistry , chemistry , gene , biology

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

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