Let ? be a holomorphic self-map of B and g ? H(B) such that g ( 0 ) = 0 , where H(B) is the space of all holomorphic functions on the unit ball B of C n . In this paper we investigate the following integral-type operator D ? g f ( z ) = ? 0 1 D f ( ? ( t z ) ) g ( t z ) d t t , f ? H ( B ) , where D f is the fractional derivative of f ? H(B). The boundedness and compactness of the operators D ? g between mixed norm spaces and Bloch spaces in the unit ball are studied.
['Hao Li']
On an integral-type operator from the Bloch space to mixed norm spaces