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Yapay Zeka Hızlı Bakış & Çıkarımlar
AI Insight⚡ TL;DR(1 Cümlede Hızlı Çıkarım)
The crucial step in the proof of the main result is to use the equivalence of the basic inequality and certain Hardy-type inequality, so we first state and prove this equivalence.
📌 3 Maddede Bu Makale
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Amaç & Hipotez:In this paper, for a wide class of integral operators, we consider the problem of their boundedness from a weighted Sobolev space to a weighted Lebesgue space.
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Temel Bulgular & Veri:In this paper, for a wide class of integral operators, we consider the problem of their boundedness from a weighted Sobolev space to a weighted Lebesgue space.
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Sonuç & Katkı:The crucial step in the proof of the main result is to use the equivalence of the basic inequality and certain Hardy-type inequality, so we first state and prove this equivalence.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Integral operator · kernel · weighted Lebesgue space
Abstract
In this paper, for a wide class of integral operators, we consider the problem of their boundedness from a weighted Sobolev space to a weighted Lebesgue space. The crucial step in the proof of the main result is to use the equivalence of the basic inequality and certain Hardy-type inequality, so we first state and prove this equivalence.
Anahtar kelimeler
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Bu Makaleye Atıf Yap
KALYBAY, A., OINAROV, R. (2019). 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/215005