Title of article :
Isometric composition operators on the analytic Besov spaces
Author/Authors :
Allen، نويسنده , , Robert F. and Heller، نويسنده , , Katherine C. and Pons، نويسنده , , Matthew A.، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2014
Abstract :
We investigate the isometric composition operators on the analytic Besov spaces. For 1 < p < 2 we show that an isometric composition operator is induced only by a rotation of the disk. For p > 2 , we extend previous work on the subject. Finally, we analyze this same problem for the Besov spaces with an equivalent norm.
Keywords :
composition operator , isometry , Besov space
Journal title :
Journal of Mathematical Analysis and Applications
Journal title :
Journal of Mathematical Analysis and Applications
