On some integral-type operators between a general space and Bloch-type spaces

Abstract

The boundedness and compactness of the next integral operatorsPφg(f)(z)=∫01f(φ(tz))g(tz)dttandLφg(f)(z)=∫01Rf(φ(tz))g(tz)dtt,between F(p,q,s) spaces and Bloch-type spaces on the unit ball of Cn are studied. Among other results, we solve some open problems and considerably extend results in the paper: Li and Stević, Compactness of Riemann–Stieltjes operators between F(p,q,s) and α-Bloch spaces, Publ. Math. Debrecen. 72 (1–2) (2008) 111–128.