Weighted differentiation composition operators from the logarithmic Bloch space to the weighted-type space

Weighted differentiation composition operators from the logarithmic Bloch space to the weighted-type space

The boundedness of the weighted differentiation composition operator from the logarithmic Bloch space to the weighted-type space is characterized in terms of the sequence (zn)n∈N0 . An asymptotic estimate of the essential norm of the operator is also given in terms of the sequence, which gives a characterization for the compactness of the operator.

Generalized Weighted Composition Operators From Logarithmic Bloch Type Spaces to $ n $'th Weighted Type Spaces

Let $ mathcal{H}(mathbb{D}) $ denote the space of analytic functions on the open unit disc $mathbb{D}$. For a weight $mu$ and a nonnegative integer $n$, the $n$'th weighted type space $ mathcal{W}_mu ^{(n)} $ is the space of all $fin mathcal{H}(mathbb{D}) $ such that $sup_{zin mathbb{D}}mu(z)left|f^{(n)}(z)right|begin{align*}left|f right|_{mathcal{W}_...

Essential Norms of Weighted Composition Operators from the -Bloch Space to a Weighted-Type Space on the Unit Ball

Weighted Composition Operators from Logarithmic Bloch-Type Spaces to Bloch-Type Spaces

Recommended by Radu Precup The boundedness and compactness of the weighted composition operators from logarithmic Bloch-type spaces to Bloch-type spaces are studied here.

Weighted Composition Operator from Bers-Type Space to Bloch-Type Space on the Unit Ball

In this paper, we characterize the boundedness and compactness of weighted composition operator from Bers-type space to Bloch-type space on the unit ball of Cn. 2010 Mathematics Subject Classification: Primary: 47B38; Secondary: 32A37, 32A38, 32H02, 47B33