Composition Operators from Certain μ-Bloch Spaces to QP Spaces

Abstract

Some necessary and sufficient conditions are established for composition operators $C_{\phi }$ to be bounded or compact from μ-Bloch type spaces ${\mathcal{B}}^{\mu }$ to ${\mathcal{Q}}_p$ spaces. Moreover, the boundedness, compactness, and Fredholmness of composition operators on little spaces ${\mathcal{Q}}_{p,0}$ are also characterized.