I would like to give an exposition of the recent work of Tony Carbery, Mike Christ, Jim Vance, David Watson and myself concerning Hilbert transforms and Maximal functions along curves in R2 [CCVWW].
@article{urn:eudml:doc:41687, title = {Dilations associated to flat curves.}, journal = {Publicacions Matem\`atiques}, volume = {35}, year = {1991}, pages = {251-257}, mrnumber = {MR1103618}, zbl = {0738.43006}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41687} }
Wainger, Stephen. Dilations associated to flat curves.. Publicacions Matemàtiques, Tome 35 (1991) pp. 251-257. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41687/