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Weyl transforms associated with the Riemann-Liouville operator

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  • N. B. Hamadi
  • L. T. Rachdi

Abstract

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 .

Suggested Citation

  • N. B. Hamadi & L. T. Rachdi, 2006. "Weyl transforms associated with the Riemann-Liouville operator," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2006, pages 1-19, November.
    • Handle: RePEc:hin:jijmms:094768
    DOI: 10.1155/IJMMS/2006/94768
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    Cited by:

    1. Hleili Khaled & Omri Slim, 2015. "An L p - L q version of Miyachi’s theorem for the Riemann-Liouville operator," Indian Journal of Pure and Applied Mathematics, Springer, vol. 46(2), pages 121-138, April.

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