Boundedness and compactness of a class of integral operators with power and logarithmic singularity when p≤ q


Abylayeva A. Oinarov R. Seilbekov B.
2022Springer Science and Business Media Deutschland GmbH

Journal of Inequalities and Applications
2022#2022Issue 1

In this paper, necessary and sufficient conditions for the boundedness and compactness of one class of integral operators with power and logarithmic singularities in weighted Lebesgue spaces are obtained.

Boundedness , Compactness , Logarithmic singularity , Weight function

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Faculty of Mechanics and Mathematics, L.N. Gumilyov Eurasian National University, Satpaev str. 2, Nur-Sultan, 010008, Kazakhstan

Faculty of Mechanics and Mathematics

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