On some new sharp results on Toeplits operators in the unit disk

Abstract

We provide new sharp results on the action of Toeplitz operators from Triebel and Besov spaces to new BMOA-type function spaces on the unit disk. In this paper we consider $s\ge 1$ case in previous papers $s<1$ was covered for $BMO{A}_{s,q}$ and $BMO{A}_s^p$ spaces. We modify a little our previously known proofs.