Title of article :
Norm-attaining composition operators on the Bloch spaces
Author/Authors :
Martيn، نويسنده , , Marيa J.، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2010
Abstract :
We prove that every composition operator C ϕ on the Bloch space (modulo constant functions) attains its norm and characterize the norm-attaining composition operators on the little Bloch space (modulo constant functions). We also identify the extremal functions for ‖ C ϕ ‖ in both cases.
Keywords :
Norm-attaining operator , Bloch space , composition operator
Journal title :
Journal of Mathematical Analysis and Applications
Journal title :
Journal of Mathematical Analysis and Applications