Hardy type inequalities and compactness of a class of integral operators with logarithmic singularities

DOI10.7153/mia-2018-21-16OpenAlexW2765405989MaRDI QIDQ4604546

Lars-Erik Persson, Akbota Abylayeva

Publication date: 2 March 2018

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/mia-2018-21-16

zbMATH Keywords

inequalitiesboundednesssingular integral operatorcompactnesslogarithmic singularityHardy type inequalitiesfractional integration operator

Mathematics Subject Classification ID

Integral operators (45P05) Linear operators on function spaces (general) (47B38) Integral operators (47G10)

Related Items (2)

Boundedness and compactness of a class of integral operators with power and logarithmic singularity when \(p\leq q\) ⋮ On the boundedness of the Hilbert transform from weighted Sobolev space to weighted Lebesgue space

Cites Work

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• Hardy type inequalities with kernels: The current status and some new results
• Boundedness of integral operators from weighted Sobolev space to weighted Lebesgue space
• Weighted Norm Inequalities for the Riemann-Liouville and Weyl Fractional Integral Operators
• On the Boundedness and Compactness of a Class of Integral Operators
• Necessary and sufficient conditions for boundedness of the Hardy-type operator from a weighted Lebesgue space to a Morrey-type space

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