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Differential Equations

, Volume 55, Issue 9, pp 1258–1261 | Cite as

Criterion for the Boundedness and Compactness of a Class of Sets in L[0,∞)

  • M. OtelbaevEmail author
  • Ya. T. SultanaevEmail author
  • D. S. ZhusupovaEmail author
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Abstract

We obtain a criterion for the boundedness and compactness of a class of sets in the space L[0,∞).

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Notes

Funding

This work was supported by the Ministry of Education and Science of the Republic of Kazakhstan, projects nos. AR05135319 and AR05133397.

References

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    Oinarov, R., Boundedness and compactness in weighted Lebesgue spaces of integral operators with variable integration limits, Sib. Math. J., 2011, vol. 52, no. 6, pp. 1042–1055.MathSciNetCrossRefGoogle Scholar

Copyright information

© Pleiades Publishing, Ltd. 2019

Authors and Affiliations

  1. 1.Institute of Mathematics and Mathematical ModelingAlmatyRepublic of Kazakhstan
  2. 2.Lomonosov Moscow State UniversityMoscowRussia
  3. 3.Gumilev Eurasian National UniversityNursultanRepublic of Kazakhstan

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