Heisenberg型群上的强奇异卷积算子

Strongly singular convolution operators on the Heisenberg-type groups

本文将给出Heisenberg型群上的一些强奇异卷积算子的L2有界性.特别地,本文的结果改进并推广了Laghi和Lyall在Heisenberg群上的相应工作.此外,一些更简单、有效的技巧也在本文中引入.

In this article, we obtain L^2 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.