Subsets of Ahlfors-regular curves and Jones numbers.

Hervé Pajot

Publicacions Matemàtiques (1996)

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

Abstract

top
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

top

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 -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.