MATHEMATICS COLLOQUIUM

DEPARTMENT OF MATHEMATICS
UNIVERSITY OF NEBRASKA AT OMAHA

 WHEN:
On Thursday, November 16, 2000 at 2.30PM

WHERE:
Durham Science Center, Room 255

WHAT:

Dr. Maria Tjani
Department of Mathematical Sciences
University of Arkansas

will give a talk on

Compact composition operators on VMOA

Abstract:
Let $\phi$ be a holomorhic self-map of the unit disc U. Associate to $\phi$ the composition operator $C_{\phi}$ defined by $C_{\phi} f=f\circ \phi$, for f holomorhic on U. The boundedness and compactness of the composition operator has been studied in many spaces. We study it in the space of holomorhic functions with vanishing mean oscillation, VMOA. Weakly compact composition operators will also be discussed.

 

 


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Last modified:   Sat Nov 11 14:28:27 CST 2000