Weighted differentiation composition operator from logarithmic Bloch spaces to Bloch‐type spaces
Copyright policy )Weighted differentiation composition operator from logarithmic Bloch spaces to Bloch‐type spaces
In this paper, we give a new characterization for the boundedness of weighted differentiation composition operator from logarithmic Bloch spaces to Bloch‐type spaces and calculate its essential norm in terms of the n‐th power of induced analytic self‐map on the unit disk. From which a sufficient and necessary condition of compactness of this operator follows immediately.
- Tianjin University China (People's Republic of)
- Tianjin Normal University China (People's Republic of)
- Tianjin Normal University China (People's Republic of)
- Tianjin University China (People's Republic of)
Integral operators, Linear operators on function spaces (general), Linear composition operators, \(\log\)-Bloch space, essential norm, Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems, compactness, boundedness, Bloch spaces, weighted differentiation composition operator
Integral operators, Linear operators on function spaces (general), Linear composition operators, \(\log\)-Bloch space, essential norm, Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems, compactness, boundedness, Bloch spaces, weighted differentiation composition operator
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