In this study, we will discuss a characterization of approximation of Hardy operators in variable Lebesgue spaces.
📌 3 Key Takeaways
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Objective & Hypothesis:Variable exponent spaces and Hardy operator space have played an important role in recent harmonic analysis because they have an interesting norm including both local and global properties.
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Key Findings & Data:The variable exponent Lebesgue spaces are of interest for their applications to modeling problems in physics, and to the study of variational integrals and partial differential equations with non-standard growth conditions.
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Conclusion & Impact:In this study, we will discuss a characterization of approximation of Hardy operators in variable Lebesgue spaces.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Variable exponent · Hardy operator · Sobolev space
Abstract
Variable exponent spaces and Hardy operator space have played an important role in recent harmonic analysis because they have an interesting norm including both local and global properties. The variable exponent Lebesgue spaces are of interest for their applications to modeling problems in physics, and to the study of variational integrals and partial differential equations with non-standard growth conditions. This studies also has been stimulated by problems of elasticity, fluid dynamics, calculus of variations, and differential equations with non-standard growth conditions. In this study, we will discuss a characterization of approximation of Hardy operators in variable Lebesgue spaces.
AKIN, L. (2018). A Characterization of Approximation of Hardy Operators in VLS. Celal Bayar Üniversitesi Fen Bilimleri Dergisi, Cilt: 14 - Sayı: 3, 333–336. https://ajindex.com/articles/108795
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