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|
|Deposited By:||Hemanta Biswal|
|Deposited On:||19 Dec 2013 16:38|
|Last Modified:||19 Dec 2013 16:38|
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