Riemann–Stieltjes operators and multipliers on [formula omitted] spaces in the unit ball of [formula omitted

Abstract

This paper is devoted to characterizing the Riemann–Stieltjes operators and pointwise multipliers acting on Möbius invariant spaces Qp, which unify BMOA and Bloch space in the scale of p. The boundedness and compactness of these operators on Qp spaces are determined by means of an embedding theorem, i.e. Qp spaces boundedly embedded in the non-isotropic tent type spaces Tq∞.