Compactness of multiplication operators on Riesz bounded variation spaces
Abstract
We prove compactness of the operator $M_{h}C_{g}$ on a subspace of the
space of $2\pi$-periodic functions of Riesz bounded variation on $[-\pi, \pi]$, for appropriate functions $g$ and $h$. Here $M_h$ denotes multiplication by $h$ and $C_g$ convolution by $g$.
space of $2\pi$-periodic functions of Riesz bounded variation on $[-\pi, \pi]$, for appropriate functions $g$ and $h$. Here $M_h$ denotes multiplication by $h$ and $C_g$ convolution by $g$.