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

Abstract

The boundedness and compactness of the next integral operators P φg(f)(z)=∫01f(φ(tz)) g(tz)dt/t and Lφg(f)(z)=∫01ℜf(φ(tz))g(tz)dt/t, 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.