Linear and bilinear multiplier operators for the Dunkl transform
The paper treats the problem of \(L^p\) estimates for linear and bilinear multiplier operators for the Dunkl transform in the one dimensional case. Using Hörmander's technique and an explicit formula for the Dunkl translation operator, an analogue of the celebrated Hörmander multiplier theorem is proved in the Dunkl setting. In the bilinear case a strategy of Coifman and Meyer is applied to receive an \(L^p\) estimate for the bilinear multiplier operators.
scientific article; zbMATH DE number 5841052
scientific article