WEYL TRANSFORMS ASSOCIATED WITH THE RIEMANN-LIOUVILLE OPERATOR

For the Riemann-Liouville transform ℛ α , α ∈ ℝ + , associated with singular partial differential operators, we define and study the Weyl transforms W σ connected with ℛ α , where σ is a symbol in S m , m ∈ ℝ . We give criteria in terms of σ for boundedness and compactness of the transform W σ ....

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Bibliographic Details
Published in	International Journal of Mathematics and Mathematical Sciences Vol. 2006; no. 17; pp. 1876 - 1894-233
Main Authors	Hamadi, N. B., Rachdi, L. T.
Format	Journal Article
Language	English
Published	Hindawi Limiteds 2006 Hindawi Limited
Online Access	Get full text

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Summary:	For the Riemann-Liouville transform ℛ α , α ∈ ℝ + , associated with singular partial differential operators, we define and study the Weyl transforms W σ connected with ℛ α , where σ is a symbol in S m , m ∈ ℝ . We give criteria in terms of σ for boundedness and compactness of the transform W σ .
Bibliography:	ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23
ISSN:	0161-1712 1687-0425
DOI:	10.1155/IJMMS/2006/94768