an:00937334
Zbl 0863.30033
Pajot, Herv??
Covering theorem by Ahlfors-regular sets and analytic capacity
FR
C. R. Acad. Sci., Paris, S??r. I 323, No. 2, 133-135 (1996).
00035219
1996
j
30C85 30E20 28A78
analytic capacity; removable set; rectifiable set; regular set; Hausdorff measure
Under a density condition, the author, using the Mattila, Melnikov and Verdera theorem [Ann. Math. (to appear)], proves that every compact, purely non 1-rectifiable planar set of finite 1-dimensional Hausdorff measure has a zero analytic capacity (i.e. is removable for bounded holomorphic functions).
J.Burbea (Pittsburgh)