We consider one-sided weight classes of Muckenhoupt type and study the weighted weak type (1,1) norm inequalities for a class of one-sided oscillatory singular integrals with smooth kernel.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm207-2-3, author = {Zunwei Fu and Shanzhen Lu and Shuichi Sato and Shaoguang Shi}, title = {On weighted weak type norm inequalities for one-sided oscillatory singular integrals}, journal = {Studia Mathematica}, volume = {204}, year = {2011}, pages = {137-151}, zbl = {1257.42022}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm207-2-3} }
Zunwei Fu; Shanzhen Lu; Shuichi Sato; Shaoguang Shi. On weighted weak type norm inequalities for one-sided oscillatory singular integrals. Studia Mathematica, Tome 204 (2011) pp. 137-151. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm207-2-3/