## Abstract

Integral Hardytype operators with variable limits of integration are studied. For

these operators the boundedness and compactness criteria are obtained and applications are considered to the embeddings of the weighted Sobolev spaces on a half-axis into the Lebesgue spaces.

these operators the boundedness and compactness criteria are obtained and applications are considered to the embeddings of the weighted Sobolev spaces on a half-axis into the Lebesgue spaces.

Original language | English |
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Pages (from-to) | 290-309 |

Number of pages | 20 |

Journal | Proceedings of the Steklov Institute of Mathematics |

Volume | 232 |

Publication status | Published - 2001 |