Subsets of Ahlfors-regular curves and Jones numbers.

Hervé Pajot

Publicacions Matemàtiques (1996)

  • Volume: 40, Issue: 2, page 497-526
  • ISSN: 0214-1493

Abstract

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We prove that an Ahlfors-regular set (with dimension one) E ⊂ Rn which verifies a βq-version of P. W. Jones' geometric lemma is included in an Ahlfors-regular curve Γ.This theorem is due to G. David and S. Semmes, we give a more direct proof.

How to cite

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Pajot, Hervé. "Sous-ensembles de courbes Ahlfors-régulières et nombres de Jones.." Publicacions Matemàtiques 40.2 (1996): 497-526. <http://eudml.org/doc/41259>.

@article{Pajot1996,
author = {Pajot, Hervé},
journal = {Publicacions Matemàtiques},
keywords = {Teoría de la medida; Curvas; Funciones maximales asociadas a curvas; Espacios lineales topológicos; Distancia de Hausdorff; Problema de Cauchy; Jones numbers; Ahlfors-regular set; Hausdorff 1 measure; subsets of rectifiable curves; Carleson measure; Ahlfors-regular curve},
language = {fre},
number = {2},
pages = {497-526},
title = {Sous-ensembles de courbes Ahlfors-régulières et nombres de Jones.},
url = {http://eudml.org/doc/41259},
volume = {40},
year = {1996},
}

TY - JOUR
AU - Pajot, Hervé
TI - Sous-ensembles de courbes Ahlfors-régulières et nombres de Jones.
JO - Publicacions Matemàtiques
PY - 1996
VL - 40
IS - 2
SP - 497
EP - 526
LA - fre
KW - Teoría de la medida; Curvas; Funciones maximales asociadas a curvas; Espacios lineales topológicos; Distancia de Hausdorff; Problema de Cauchy; Jones numbers; Ahlfors-regular set; Hausdorff 1 measure; subsets of rectifiable curves; Carleson measure; Ahlfors-regular curve
UR - http://eudml.org/doc/41259
ER -

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