Hermite Multipliers on Modulation Spaces

Divyang G. Bhimani, Rakesh Balhara, Sundaram Thangavelu

We study multipliers associated to the Hermite operator $H=-\Delta +|x{|}^2$ on modulation spaces $M^{p,q}({\mathbb{R}}^d)$. We prove that the operator $m(H)$ is bounded on $M^{p,q}(\mathbb…