Essential norms of the integral-type composition operators between Bloch-type spaces

Abstract

In this paper, we give some new and simple characterizations for the boundedness and compactness of the integral-type composition operators acting on Bloch-type spaces, and obtain corresponding estimates for their essential norms in terms of the sequence {z n } ∞ n=1 . From which the sufficient and necessary conditions of compactness of the integral-type composition operators follows immediately.

New characterizations for the integral-type operator from BMOA to Bloch-type spaces

“…Recently, there have been an increasing interest in new characterizations for the boundedness and compactness of operators, one can refer to [3,4,7,8,14,17,18,23]. Based on the above results, we continue to investigate the new characterizations for the integral-type operator T C ϕ acting from BMOA(VMOA) to B α .…”

New characterizations for weighted composition operator from Zygmund type spaces to Bloch type spaces

“…[6], [9], [10], [12], [13], [15], [16], [25], [28]. The natural question to ask is whether the essential norm formula for composition operators between Bloch-types paces B α can be generalized to weighted composition operators.…”