On the boundedness of some classes of integral operators in weighted Lebesgue spaces


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Authors

  • Larisa Arendarenko
  • Ryskul Oinarov
  • Lars-Erik Persson

Keywords:

Hardy type inequalities, boundedness, integral operators, kernels, weighted Lebesgue spaces

Abstract

Some new Hardy-type inequalities for Hardy–Volterra integral operators are proved and discussed. The case \(1 < q < p < \infty\) is considered, and the involved kernels satisfy conditions which are less restrictive than the usual Oinarov condition.

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Published

2025-09-15

How to Cite

Arendarenko, L., Oinarov, R., & Persson, L.-E. (2025). On the boundedness of some classes of integral operators in weighted Lebesgue spaces. Eurasian Mathematical Journal, 3(1), 5–17. Retrieved from https://emj.enu.kz/index.php/main/article/view/769

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