On an integral operator between Bloch-type spaces on the unit ball

By S. Stević. 2010

89 citations recorded by the source corpus.

Abstract We characterize the boundedness and compactness of the following integral-type operator I φ g ( f ) ( z ) = ∫ 0 1 R f ( φ ( t z ) ) g ( t z ) d t t , z ∈ B , where g is a holomorphic function on the unit ball B ⊂ C n such that g ( 0 ) = 0 , and φ is a holomorphic self-map of B , acting from α -Bloch spaces to Bloch-type spaces on B .

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/4e40e25a50cdfa6d2e09ab1dd6073c531a248fa5