شماره ركورد كنفرانس :
3735
عنوان مقاله :
Study of bounded weighted composition operator T^{phi}_u on L^2(sum) space
پديدآورندگان :
Ebadian Ali ebadian.ali@gmail.com Payame Noor University Tehran , Edalat Golnaz g.edalat69@gmail.com Payame Noor University Tehran
كليدواژه :
Integral operator , weighted composition operator , bounded operator , measurable transformation , weakly measurable function.
عنوان كنفرانس :
اولين كنفرانس منطقه اي علوم رياضي و كاربردها
چكيده فارسي :
In this paper, the boundedness property of weighted composition operator T^{phi}_u on L^2(X) space is studied. It is considered that, the operator T^{phi}_uis associated with weakly measurable function u and non-singular measurable transformation phi. Plus, the unfair function h_0 in the Radon-Nikodym theorem and some fundamental properties about T^{phi}_u is used to conclude theoretical results. Also, language of conditional expection operators of $T^{\varphi}_u$ is utilized