## Abstract

New criteria of Lp -Lq boundedness of Hardy-Steklov type operator with both

increasing on (0, 8) boundary functions a(x) and b(x) are obtained for 1 < p q < 8 and 0 < q < p < 8, p > 1. This result is applied for two-weighted Lp -Lq characterization of the corresponding geometric Steklov operator and other related problems.

increasing on (0, 8) boundary functions a(x) and b(x) are obtained for 1 < p q < 8 and 0 < q < p < 8, p > 1. This result is applied for two-weighted Lp -Lq characterization of the corresponding geometric Steklov operator and other related problems.

Original language | English |
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Pages (from-to) | 449–510 |

Number of pages | 62 |

Journal | Mathematical Inequalities Applications |

Volume | 13 |

Issue number | 3 |

Publication status | Published - 1 Jul 2010 |

## Keywords

- Integral operators, Lebesgue spaces, weights, boundedness