Carleson measures, riemann-stieltjes operators and multipliers on F(p, q, s) spaces in the unit ball of ℂn

This paper is devoted to characterizing the Riemann-Stieltjes operators and pointwise multipliers on F(p, q, s) spaces in the unit ball of ℂn, which contain many classical function spaces, such as the Bloch space, BMOA and Qs spaces. The boundedness and compactness of these operators on F(p,q,s) spaces are characterized by means of an embedding theorem, i.e., F(p,q,s) spaces boundedly embedded into the tent-type spaces T∞p,s (μ).