@article{BSMF_1997__125_1_15_0, author = {Pajot, Herv\'e}, title = {Conditions quantitatives de rectifiabilit\'e}, journal = {Bulletin de la Soci\'et\'e Math\'ematique de France}, pages = {15--53}, publisher = {Soci\'et\'e math\'ematique de France}, volume = {125}, number = {1}, year = {1997}, doi = {10.24033/bsmf.2298}, mrnumber = {98m:28014}, zbl = {0890.28004}, language = {fr}, url = {http://archive.numdam.org/articles/10.24033/bsmf.2298/} }
TY - JOUR AU - Pajot, Hervé TI - Conditions quantitatives de rectifiabilité JO - Bulletin de la Société Mathématique de France PY - 1997 SP - 15 EP - 53 VL - 125 IS - 1 PB - Société mathématique de France UR - http://archive.numdam.org/articles/10.24033/bsmf.2298/ DO - 10.24033/bsmf.2298 LA - fr ID - BSMF_1997__125_1_15_0 ER -
%0 Journal Article %A Pajot, Hervé %T Conditions quantitatives de rectifiabilité %J Bulletin de la Société Mathématique de France %D 1997 %P 15-53 %V 125 %N 1 %I Société mathématique de France %U http://archive.numdam.org/articles/10.24033/bsmf.2298/ %R 10.24033/bsmf.2298 %G fr %F BSMF_1997__125_1_15_0
Pajot, Hervé. Conditions quantitatives de rectifiabilité. Bulletin de la Société Mathématique de France, Tome 125 (1997) no. 1, pp. 15-53. doi : 10.24033/bsmf.2298. http://archive.numdam.org/articles/10.24033/bsmf.2298/
[B1] Harmonic measure supported on curves, Thèse, Université de Chicago, 1987.
. -[B2] Some conjectures concerning harmonic measure, dans Partial differential equations with minimal smoothness, IMA vol. in Math. and its Applications, Springer Verlag, t. 42, 1991. | Zbl
. -[BJ] Harmonic measure, L2 estimates and the schwarzian derivatives, J. Analyse Math., t. 62, 1994, p. 77-113. | MR | Zbl
and . -[Da] Wavelets and singular integrals on curves and surfaces, Lecture Notes in Math., Springer Verlag, t. 1465, 1991. | MR | Zbl
. -[DS1] Singular integrals and rectifiable sets in ℝn : au-delà des graphes lipschitziens, Astérisque, t. 193, 1991. | Numdam | Zbl
and . -[DS2] Analysis of and on uniformly rectifiable sets, Math. Surveys and Monographs, Amer. Math. Soc., t. 38, 1993. | MR | Zbl
and . -[Fa] Geometry of fractal sets. - Cambridge University Press, 1984. | Zbl
. -[Fe] Geometric measure theory. - Springer Verlag, 1969. | MR | Zbl
. -[Ga] Positive length but zero analytic capacity, Proc. Amer. Math. Soc., t. 24, 1970, p. 696-699. | MR | Zbl
. -[J1] Square functions, Cauchy integrals, analytic capacity, and harmonic measure, in Harmonic analysis and Partial differential equations, Lecture Notes in Math., Springer Verlag, t. 1384, 1989, p. 24-68. | MR | Zbl
. -[J2] Rectifiable sets and the traveling salesman problem, Inventiones Math., t. 102, 1990, p. 1-15. | MR | Zbl
. -[Ma] Geometry of sets and measures in euclidean spaces, Cambridge Studies in Advanced Math., Cambridge University Press, t. 44, 1995. | MR | Zbl
. -[MMV] The Cauchy integral, analytic capacity and uniform rectifiability, Annals of Math., t. 144, 1996, p. 127-136. | MR | Zbl
, and . -[Ok] Characterization of subsets of rectifiable curves in ℝn, J. London Math. Soc., t. 46, 1992, p. 336-348. | MR | Zbl
. -[Pa] Théorème de recouvrement par des ensembles Ahlfors-réguliers et capacité analytique, C. R. Acad. Sci. Paris, t. 323, série I, 1996, p. 133-135. | MR | Zbl
. -[St] Singular integrals and differentiability properties of functions. - Princeton University Press, 1971. | Zbl
. -[StZ] On differentiability of functions, Studia Math., t. 23, 1964, p. 247-283. | MR | Zbl
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