Fourier multipliers for weighted $L^2$ spaces with Lévy-Khinchin-Schoenberg weights

Nikolai K. Nikolski, Igor E. Verbitsky

We present a class of weight functions $w$ on the circle $\mathbb{T}$, called Lévy-Khinchin-Schoenberg (LKS) weights, for which we are able to completely characterize (in terms o…