Generalized Composition Operators from ℬ μ Spaces to Q K , ω ( p , q ) Spaces

Abstract

Let , let , and let $\phi$ be an analytic self-map of $𝔻$ and $g\in H(𝔻)$. The boundedness and compactness of generalized composition operators $(C_{\phi }^{g}f)(z)={\int }_0^z\mathrm{‍}{f}^{\mathrm{\text{'}}}(\phi (\xi ))g(\xi )d\xi ,\hspace{0.17em}z\in 𝔻,\hspace{0.17em}f\in H(𝔻)$, from ${ℬ}_{\mu }$ (${ℬ}_{\mu ,0}$) spaces to $Q_{K,\omega }(p,q)$ spaces are investigated.