A multiplier theorem for H-type groups
We prove an -boundedness result for a convolution operator with rough kernel supported on a hyperplane of a group of Heisenberg type.
We prove an -boundedness result for a convolution operator with rough kernel supported on a hyperplane of a group of Heisenberg type.
The aim of this paper is to demonstrate how a fairly simple nilpotent Lie algebra can be used as a tool to study differential operators on with polynomial coefficients, especially when the property studied depends only on the degree of the polynomials involved and/or the number of variables.