论文标题
与海森伯格集团有关
Homogeneous Fourier and Weyl multipliers on Sobolev spaces related to the Heisenberg group
论文作者
论文摘要
受A. Bonami和S. Poornima的工作的启发，该功能是均等的$ 0 $的非稳定功能，这不能成为同质索波列夫空间的傅立叶乘法，我们为Heisenberg Group $ \ Mathbb {H}^n $ and $ n Math y Math y Math y Math y Math y Math y Math y Math y Math y math y Math y Math y Math y Math y Math y Math y Math y Math y Math y Math y Math y Math y Math y Math y Mather y Mather y Mather y Mather y Mather y Mather y Mather y Mather seb cat空间。
Inspired by the work of A. Bonami and S. Poornima that a non-constant function which is homogeneous of degree $0$ cannot be a Fourier multiplier on homogeneous Sobolev spaces, we establish analogous results for Fourier multipliers on the Heisenberg group $ \mathbb{H}^n $ and Weyl multipliers on $ \mathbb{C}^n $ acting on Sobolev Spaces.
