Weyl multipliers for \((L^p, L^q)\)

We discuss the Weyl multipliers for pairs of Lebesgue spaces, and identify some sub classes of \(B(L^2({\mathbb {R}}^n))\) $B(L^2({\mathbb{R}}^n))$ which form Weyl multipliers for \((L^p, L^q), \, 1\le p,q \le \infty \) $(L^p,L^q),1\le p,q\le \infty$ . Similar results are also obtained for Lorentz spaces.