Product of composition and differentiation operators and closures of weighted Bergman spaces in Bloch type spaces

Abstract

Closures of weighted Bergman spaces in Bloch type spaces are investigated in the paper. Moreover, the boundedness and compactness of the product of composition and differentiation operators from Bloch type spaces to closures of weighted Bergman spaces spaces in Bloch type spaces are characterized.

The characterizations of distances from Bloch functions to some Möbius invariant spaces by high order derivatives

“…The boundedness and compactness of these operators have attracted a lot of attention in many analytic function spaces. Zhang [17] characterized the boundedness and compactness of the operator…”