## Abstract

A new criterion for the weighted Lp–Lq boundedness of the Hardy operator with

two variable limits of integration is obtained. This criterion

is applied to the characterization of the weighted Lp–Lq boundedness of the corresponding geometric mean operator.

two variable limits of integration is obtained. This criterion

is applied to the characterization of the weighted Lp–Lq boundedness of the corresponding geometric mean operator.

Original language | English |
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Pages (from-to) | 254–278 |

Number of pages | 25 |

Journal | Proceedings of the Steklov Institute of Mathematics |

Volume | 260 |

Issue number | 1 |

DOIs | |

Publication status | Published - Apr 2008 |

## Keywords

- Analysis