On generalized Orlicz spaces
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Date
2020
Authors
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Publisher
Faculty of Mathematics and Computer Science Department of Mathematics - Option : Functional analysis
Abstract
Recently, generalized Orlicz spaces has become part of the mainstream research fields in contemporary functional analysis. so, In this memory, we study some definitions and basic properties of Φ-function and we use them to study some properties of generalized Orlicz spaces (also known as Musielak-Orlicz spaces) as convergence, completeness, separability, uniform convexity, reflexivity and density of smooth functions.
Description
Keywords
Φ-function, Variable exponent Lebesgue spaces Lp(·), Orlicz spaces, Generalized Orlicz spaces