|Author's Email Address
||This thesis had been viewed 5219 times. Download 2493 times.|
|Type of Document
||Structures of some weighted composition operators on the space of square integrable functions with respect to a positive measure|
|Date of Defense
||weighted composition operator
||Let T be the unit circle,(mu) be a Borel probability measure on T and (phi) be a bounded Lebesgue measurable function on T. in this paper we consider the weighted composition operator W(phi) on L^2(T,mu) defined by|
W(phi)f:=(phi)*(f(circle)(tau)), f in L^2(T),
where (tau) is the map (tau)(z)=z^2, z in T.
We will study the von Neumann-Wold decomposition of W(phi) when W(phi) is an isometry and (mu)<< m,where m is the normalized Lebesgue measure on T.
||Ngai-Ching Wong - chair|
Pei Yuan Wu - co-chair
Jhishen Tsay - co-chair
Mark C. Ho - advisor
indicate access worldwide|
|Date of Submission