Abdessalem Gasmi, Anis El Garna
Abstract:
In this article, we use the theory of reproducing kernels to study
the Weinstein multiplier operators on Sobolev type spaces.
Some applications are given and an associated Hormander type
theorem on L^p-boundedness is established.
Submitted January 10, 2017. Published May 5, 2017.
Math Subject Classifications: 11F60, 42B25, 35S30, 42A38.
Key Words: Linear multiplier operator; Weinstein operator; extremal function;
Hormander multiplier theorem.
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Abdessalem Gasmi Department of Mathematics Faculty of Sciences, Taibah University Medina, Saudi Arabia email: aguesmi@taibahu.edu.sa | |
Anis El Garna Deanship of Preparatory and Supporting Studies Imam Abdulrahman Bin Faisal University Saudi Arabia email: anelgarna@uod.edu.sa |
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