Abstract
We establish sufficient conditions for the almost compactness of partially integral operators in \( L_{p} \).
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Korotkov V. B. and Stepanov V. D., “Some properties of integral convolution operators,” in: Application of Methods of Functional Analysis to Equations of Mathematical Physics and Numerical Mathematics [Russian], Inst. Mat. (Novosibirsk), Novosibirsk (1979), 64–68.
Korotkov V. B., “Regular compact factorization of integral operators in \( L_{p} \),” Math. Notes, vol. 32, no. 5, 785–788 (1982).
Korotkov V. B., “Measure-compact operators, almost compact operators, and linear functional equations in \( L_{p} \),” Sib. Math. J., vol. 54, no. 3, 479–486 (2013).
Korotkov V. B., Linear Functional and Integral Equations of the First, Second, and Third Kind [Russian], Southern Mathematical Institute, Vladikavkaz (2017).
Krasnoselskii M. A., Zabreiko P. P., Pustylnik E. I., and Sobolevskii P. E., Integral Operators in Spaces of Summable Functions, Noordhoff, Leyden (1976).
Hille E. and Phillips R. S., Functional Analysis and Semi-Groups, Amer. Math. Soc., Providence (1926) (Colloquium Publications; Vol. 31).
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Translated from Sibirskii Matematicheskii Zhurnal, 2021, Vol. 62, No. 2, pp. 333–338. https://doi.org/10.33048/smzh.2021.62.207
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Korotkov, V.B. On Almost Compactness of Some Partially Integral Operators in \( L_{p} \). Sib Math J 62, 267–271 (2021). https://doi.org/10.1134/S0037446621020075
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DOI: https://doi.org/10.1134/S0037446621020075