CARLESON MEASURES,RIEMANN-STIELTJES OPERATORS AND MULTIPLIERS ON F(p,q,s)SPACES IN THE UNIT BALL OF C^n

摘要

This paper is devoted to characterizing the Riemann-Stieltjes operators and pointwise multipliers on F(p,q,s) spaces in the unit ball of C^n,which contain many classical function spaces,such as the Bloch space,BMOA and Q_s 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).