The Essential Norm of a Generalized Composition Operator Between Bloch-Type Spaces and Q K Type Spaces

摘要

Let φ be an analytic self-map of the unit disk ${rm mathbb{D},H(rm mathbb{D})}$ the space of analytic functions on ${{rm mathbb{D}}}$ and ${g in H(rm mathbb{D})}$ . We define a linear operator as follows $$C_varphi^gf(z)=intlimits_0^zf'(varphi(w))g(w), {rm d}w, $$ on ${ H(rm mathbb{D})}$ . In this paper, estimates for the essential norm of the generalized composition operator between Bloch-type spaces and Q K type spaces are obtained.