Riemann-Stieltjes operators and multipliers on $Q_p$ spaces in the unit ball of $C^n$

摘要

This paper is devoted to characterizing the Riemann-Stieltjes operators andpointwise multipliers acting on M${\rm \ddot{o}}$bius invariant spaces $Q_p$,which unify BMOA and Bloch space in the scale of $p$. The boundedness andcompactness of these operators on $Q_p$ spaces are determined by means of anembedding theorem, i.e. $Q_p$ spaces boundedly embedded in the non-isotropictent type spaces $T_q^\infty$.