In this paper we survey some recent results in connection with the so called Painlevé's problem and the semiadditivity of analytic capacity γ. In particular, we give the detailed proof of the semiadditivity of the capacity γ+, and we show almost completely all the arguments for the proof of the comparability between γ and γ+.
@article{urn:eudml:doc:41789, title = {Painlev\'e's problem and analytic capacity.}, journal = {Collectanea Mathematica}, volume = {57}, year = {2006}, pages = {89-125}, zbl = {1105.30015}, mrnumber = {MR2264206}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41789} }
Tolsa, Xavier. Painlevé's problem and analytic capacity.. Collectanea Mathematica, Tome 57 (2006) pp. 89-125. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41789/