Revistes Catalanes amb Accés Obert (RACO)

Sous-ensembles de courbes Ahlfors-régulières et nombres de Jones

H. Pajot

Resum


We prove that an Ahlfors-regular set (with dimension one) $E \subset \Bbb R^{n}$ which verifies a $\beta_{q}$-version of P. W. Jones' geometric lemma is included in an Ahlfors-regular curve $\Gamma$.

This theorem is due to G. David and S. Semmes, we give a more direct proof.

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