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<p>This paper focuses on operators formed by the iteration of two Volterra-type operators with general kernels, which satisfy conditions significantly weaker than those previously considered. It establishes necessary and sufficient conditions for the validity of new Hardy-type inequalities involving these iterated operators.</p>

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Weighted inequalities for iterated Volterra-type operators with kernels

  • 期刊论文

  • 发表日期：

    2026年5月7日

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  • A. Kalybay,
  • A. Temirkhanova

摘要

This paper focuses on operators formed by the iteration of two Volterra-type operators with general kernels, which satisfy conditions significantly weaker than those previously considered. It establishes necessary and sufficient conditions for the validity of new Hardy-type inequalities involving these iterated operators.