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2022•Journal of Inequalities and ApplicationsOpen access

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

Akbota Abylayeva, Ryskul Oinarov, Bolat Seilbekov

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Abstract

Abstract 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.

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Abstract 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.

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Available abstract

Abstract 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.

Key concepts: Mathematics, Compact space, Logarithm, Class (philosophy), Lebesgue integration, Pure mathematics, Gravitational singularity, Singularity

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