Products of integral-type and composition operators from generally weighted Bloch space to F(p,q,s) space

Products of Integral-type and Composition Operators from Generally Weighted

Products of integral-type and composition operators has been recently introduced by Li and Stević and studied in a series of their papers. In this note we study the boundedness and compactness of these products from generally weighted Bloch space to F (p, q, s) space, where 0 < p, s < ∞, q > −2, α > 0.

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}_...

Volterra composition operators from generally weighted Bloch spaces to Bloch-type spaces on the unit ball

Let φ be a holomorphic self-map of the open unit ball B, g ∈ H(B). In this paper, the boundedness and compactness of the Volterra composition operator T g from generally weighted Bloch spaces to Bloch-type spaces are investigated. c ©2012 NGA. All rights reserved.

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