The characterizations of distances from Bloch functions to some m\"obius invariant spaces by high order derivatives

Yu Sun, Bin Liu, Jinlin Liu

Abstract


We characterized the distances from Bloch functions to some M\"obius invariant spaces by high order derivatives. Moreover, the boundedness and compactness of the products of composition and differentiation
operators from the Bloch space to the closure of some M\"obius invariant spaces are characterized.

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