摘要
Let G=H<sub>k</sub><sup>n</sup> be the（2n+1）-dimensional Heisenberg group over local field K.In this paper we prove some theorems about convolution operators on H<sup>P</sup>（G）and vector-valued Hardy spaces.As an example,the distribution ∫<sub>k<sup>*</sup></sub>dt/|t| for some ∈S（G）,/∫=0 is a ramified 0-type kernel.These results can be applied to characterize H<sup>P</sup>（G）spaces by square functions.
Let G=H<sub>k</sub><sup>n</sup> be the（2n+1）-dimensional Heisenberg group over local field K.In this paper we prove some theorems about convolution operators on H<sup>P</sup>（G）and vector-valued Hardy spaces.As an example,the distribution ∫<sub>k<sup>*</sup></sub>dt/|t| for some ∈S（G）,/∫=0 is a ramified 0-type kernel.These results can be applied to characterize H<sup>P</sup>（G）spaces by square functions.
