Electron. J. Differential Equations, Vol. 2017 (2017), No. 124, pp. 1-18.

Properties of the Linear multiplier operator for the Weinstein transform and applications

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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