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Journals / Turkish Journal of Mathematics / 2019 / Cilt: 43 - Sayı: 1

Kernel operators and their boundedness from weighted Sobolev space to weighted Lebesgue space

Aigerim KALYBAY
Ryskul OINAROV
Pages
301–315
Publication Date
2022-11-04
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

The crucial step in the proof of the main result is to use theequivalence of the basic inequality and certain Hardy-type inequality, so we first state and prove this equivalence.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, for a wide class of integral operators, we consider the problem of their boundedness from aweighted Sobolev space to a weighted Lebesgue space.
📊
Key Findings & Data:In this paper, for a wide class of integral operators, we consider the problem of their boundedness from aweighted Sobolev space to a weighted Lebesgue space.
💡
Conclusion & Impact:The crucial step in the proof of the main result is to use theequivalence of the basic inequality and certain Hardy-type inequality, so we first state and prove this equivalence.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this paper, for a wide class of integral operators, we consider the problem of their boundedness from aweighted Sobolev space to a weighted Lebesgue space. The crucial step in the proof of the main result is to use theequivalence of the basic inequality and certain Hardy-type inequality, so we first state and prove this equivalence.

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Cite This Article

KALYBAY, A., OINAROV, R. (2022). Kernel operators and their boundedness from weighted Sobolev space to weighted Lebesgue space. Turkish Journal of Mathematics, Cilt: 43 - Sayı: 1, 301–315. https://ajindex.com/articles/607659

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References (10)

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