Strongly singular convolution operators on the Heisenberg-type groups
Strongly singular convolution operators on the Heisenberg-type groups
In this article, we obtain <italic>L</italic><sup>2</sup> estimates for some strongly singular convolution operators on the Heisenberg-type groups. In particular, our results improve and generalize those obtained in the setting of Heisenberg groups by Laghi and Lyall. Furthermore, some simpler and more effective techniques are introduced in this article.