Riemann–Stieltjes operators and multipliers on Qp spaces in the unit ball of Cn

Abstract

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