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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
We also study the boundedness of an integral operator with the aforementioned kernel.
📌 3 Key Takeaways
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Objective & Hypothesis:In this paper we want to show the validity of the generalized doubleparametric Hilbert inequality with conjugate exponents in the framework of grand Lebesgue spaces as a particular case of a more general result involving an homogeneous kernel.
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Key Findings & Data:In this paper we want to show the validity of the generalized doubleparametric Hilbert inequality with conjugate exponents in the framework of grand Lebesgue spaces as a particular case of a more general result involving an homogeneous kernel.
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Conclusion & Impact:We also study the boundedness of an integral operator with the aforementioned kernel.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Lebesgue spaces · grand Lebesgue spaces · Hilbert inequality
Abstract
In this paper we want to show the validity of the generalized doubleparametric Hilbert inequality with conjugate exponents in the framework of grand Lebesgue spaces as a particular case of a more general result involving an homogeneous kernel. We also study the boundedness of an integral operator with the aforementioned kernel.
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Cite This Article
Castillo, R. E., Rafeiro, H. (2015). Inequalities with conjugate exponents in grand Lebesgue spaces. Hacettepe Journal of Mathematics and Statistics, Volume: 44 Issue: 1. https://ajindex.com/articles/1403322