Radial convolution operators on free groups with nonnegative kernel of weak type (2,2) and of restricted weak type (2,2) are characterized. Estimates of weak type (p,p) are obtained as well for 1 < p < 2.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm186-1-7, author = {Tadeusz Pytlik and Ryszard Szwarc}, title = {Weak type radial convolution operators on free groups}, journal = {Studia Mathematica}, volume = {187}, year = {2008}, pages = {77-86}, zbl = {1204.43003}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm186-1-7} }
Tadeusz Pytlik; Ryszard Szwarc. Weak type radial convolution operators on free groups. Studia Mathematica, Tome 187 (2008) pp. 77-86. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm186-1-7/