An integral type operator on analytic function spaces

D. Borgohain, S. Naik
2018 The Journal of Analysis  
Let f and h be analytic functions on the unit disk . For any positive integer n we define an integral type operator I n,f as where f (n) denote n th order derivative of f. In this article we discuss the boundedness of I n,f in the Möbius invariant spaces Q p for 0 < p < 1 and find the norm of I n,f computed on -Bloch space ℬ for > 0.
doi:10.1007/s41478-018-0134-1 fatcat:7x2us6tbybgspmt3fdcnhvxzda