Orlicz_Spaces and Orlicz_Sobolev_space
Abdulhameed Qahtan Abbood Altai, Nada Mohammed Abbas Alsafar
TL;DR
This paper introduces new classes of Orlicz spaces and Orlicz Sobolev spaces by relaxing traditional definitions of Young functions and related convex functions, expanding the functional analysis framework.
Contribution
It defines novel classes of Orlicz and Orlicz Sobolev spaces through relaxed convex function definitions, broadening the scope of these function spaces.
Findings
New classes of Orlicz spaces introduced
New classes of Orlicz Sobolev spaces defined
Framework for generalized convex functions established
Abstract
A new class of convex functions called functions, Young functions, strong Young functions and Orlicz functions are introduced by relaxing the definitions of functions, Young functions, strong Young functions and Orlicz functions. Then, new classes of Orlicz spaces and Orlicz Sobolev space will be defined.
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Taxonomy
TopicsAdvanced Harmonic Analysis Research · Advanced Banach Space Theory · Nonlinear Partial Differential Equations