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## Abstract

We prove L-p(R-n),1 < p < infinity, bounds for

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and

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where R-j(t) = P-j(t)/Q(j)(t),j = 1,2...,n, are rational functions. Our bounds depend only on the degrees of the polynomials P-j, Q(j) and, in particular, they do not depend on the coefficients of these polynomials.

Original language | English |
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Pages (from-to) | 1661-1679 |

Number of pages | 19 |

Journal | Transactions of the American Mathematical Society |

Volume | 360 |

Issue number | 3 |

DOIs | |

Publication status | Published - 2008 |

## Keywords

- MAXIMAL FUNCTIONS

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Dive into the research topics of 'Singular integral operators associated to curves with rational components'. Together they form a unique fingerprint.## Projects

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