Generalized integral type Hilbert operator acting between weighted Bloch spaces

Abstract

Let be a finite Borel measure on . In this paper, we consider the generalized integral type Hilbert operator The operator has been extensively studied recently. The aim of this paper is to study the boundedness (resp. compactness) of acting from the normal weight Bloch space into another of the same kind. As consequences of our study, we get completely results for the boundedness of acting between Bloch type spaces, and between logarithmic Bloch spaces.