Orlicz Function Spaces and Composition Operator

Giri, Chinmay Kumar (2013) Orlicz Function Spaces and Composition Operator. MSc thesis.



In our dissertation we present here the salient features from the theory of Orlicz function spaces, LÖ(Ù), generated by the Young’s function Ö on an arbitrary ó−finite measurable spaces Ù. We will discussed these are the Banach spaces equipped with the equivalent orlicz and gauge norms.Finally we study the Composition operators Cô between Orlicz spaces LÖ(Ù) generated by measurable and non-singular transformations ô from Ù into itself. We also investigate the Boundedness and compactness of the composition operators on the Orlicz spaces by using different types of Ä2 conditions of the orlicz function Ö.

Item Type:Thesis ( MSc)
Uncontrolled Keywords:Young's function,Orlicz function,Orlicz function Spaces,Compositon Operator
Subjects:Mathematics and Statistics > Topology
Divisions: Sciences > Department of Mathematics
ID Code:5436
Deposited By:Hemanta Biswal
Deposited On:19 Dec 2013 16:38
Last Modified:19 Dec 2013 16:38
Supervisor(s):Pradhan, S

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