Boundedness and compactness of a class of integral operators with power and logarithmic singularity when \(p\leq q\)

DOI10.1186/S13660-022-02758-4zbMath1506.47080OpenAlexW4211236103MaRDI QIDQ2129113

Bolat Seilbekov, Akbota Abylayeva, Ryskul Oinarov

Publication date: 22 April 2022

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-022-02758-4

zbMATH Keywords

weight functionboundednesscompactnesslogarithmic singularity

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Linear operators defined by compactness properties (47B07) Integral operators (45P05) Integral operators (47G10) Inequalities involving derivatives and differential and integral operators (26D10)

Cites Work

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• Criteria for the boundedness and compactness of operators with power-logarithmic kernels
• Boundedness and compactness of a class of Hardy type operators
• Weighted Norm Inequalities for the Riemann-Liouville and Weyl Fractional Integral Operators
• On the Boundedness and Compactness of a Class of Integral Operators
• Hardy type inequalities and compactness of a class of integral operators with logarithmic singularities
• Boundedness and compactness of a class of Hardy type operators
• Boundedness and compactness of the Hardy type operator with variable upper limit in weighted Lebesgue spaces

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