Scholarlink

<p>This paper investigates operators formed by the iteration of two Volterra-type operators. The kernels involved satisfy general conditions that extend previous results in Stepanov and Shambilova (Math Inequal Appl 22(4):1505–1533, 2019. <a href="https://doi.org/10.7153/mia-2019-22-105">https://doi.org/10.7153/mia-2019-22-105</a>), which were established for kernels satisfying the Oinarov condition. Necessary and sufficient conditions are established for the boundedness of these iterated operators between weighted Lebesgue spaces.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Hardy-type inequalities for iterated integral operators with kernels

  • 期刊论文

  • 发表日期：

    2026年1月7日

查看全文
  • Aigerim Kalybay,
  • Ainur Temirkhanova

摘要

This paper investigates operators formed by the iteration of two Volterra-type operators. The kernels involved satisfy general conditions that extend previous results in Stepanov and Shambilova (Math Inequal Appl 22(4):1505–1533, 2019. https://doi.org/10.7153/mia-2019-22-105), which were established for kernels satisfying the Oinarov condition. Necessary and sufficient conditions are established for the boundedness of these iterated operators between weighted Lebesgue spaces.