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Journals / Hacettepe Journal of Mathematics and Statistics / 2013 / Cilt: 42 - Sayı: 3

On One Weighted Inequalities for Convolution Type Operator

R. A BANDALİEV
Pages
199–210
Publication Date
2022-10-18
DOI
—
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AI Summary & Key Takeaways

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

The sufficient conditions for the pair of generalweights ensuring the validity of two-weight inequalities of a strong typeand of a weak type for convolution operator with kernel satisfying thegeneralized H¨ormander’s condition are found.

📌 3 Key Takeaways

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Objective & Hypothesis:In this paper we prove the boundedness of certain convolution operatorin a weighted Lebesgue space with kernel satisfying the generalizedH¨ ormander’s condition.
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Key Findings & Data:In this paper we prove the boundedness of certain convolution operatorin a weighted Lebesgue space with kernel satisfying the generalizedH¨ ormander’s condition.
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Conclusion & Impact:The sufficient conditions for the pair of generalweights ensuring the validity of two-weight inequalities of a strong typeand of a weak type for convolution operator with kernel satisfying thegeneralized H¨ormander’s condition are found.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Weighted Lebesgue space · Singular integral · Kernel

Abstract

In this paper we prove the boundedness of certain convolution operatorin a weighted Lebesgue space with kernel satisfying the generalizedH¨ ormander’s condition. The sufficient conditions for the pair of generalweights ensuring the validity of two-weight inequalities of a strong typeand of a weak type for convolution operator with kernel satisfying thegeneralized H¨ormander’s condition are found.

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Cite This Article

BANDALİEV, R. A. (2022). On One Weighted Inequalities for Convolution Type Operator. Hacettepe Journal of Mathematics and Statistics, Cilt: 42 - Sayı: 3, 199–210. https://ajindex.com/articles/530443

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References (8)

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