Homogeneous Fourier and Weyl multipliers on Sobolev spaces related to the Heisenberg group

Riju Basak, Rahul Garg, Sundaram Thangavelu

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 e…