Pseudo-Differential Operators of Homogeneous Symbol Class Associated with the Weinstein Transform

Abstract

In this paper, pseudo-differential operators with homogeneous symbol classes associated with the Weinstein transform are introduced. The boundedness of pseudo-differential operators and commutator between two pseudo-differential operators on ℌα,2r are proven with the help of the Weinstein transform technique. © Springer-Verlag GmbH Germany & The Editorial Office of AMS 2024.