## Abstract

Some Hardy-type integral inequalities in general measure spaces,

where the corresponding Hardy operator is replaced by a more general Volterra

type integral operator with kernel k(x, y), are considered. The equivalence

of such inequalities on the cones of non-negative respective non-increasing

functions are established and applied.

where the corresponding Hardy operator is replaced by a more general Volterra

type integral operator with kernel k(x, y), are considered. The equivalence

of such inequalities on the cones of non-negative respective non-increasing

functions are established and applied.

Original language | English |
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Pages (from-to) | 2363–2372 |

Number of pages | 10 |

Journal | Proceedings of the American Mathematical Society |

Volume | 134 |

Issue number | 8 |

Publication status | Published - 2006 |

## Keywords

- Integral operator of the Hardy type, inequalities for monotone