A strong summability result is proved for the Ciesielski-Fourier series of integrable functions. It is also shown that the strong maximal operator is of weak type (1,1).
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm161-3-4, author = {Ferenc Weisz}, title = {Strong summability of Ciesielski-Fourier series}, journal = {Studia Mathematica}, volume = {162}, year = {2004}, pages = {269-302}, zbl = {1057.42022}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm161-3-4} }
Ferenc Weisz. Strong summability of Ciesielski-Fourier series. Studia Mathematica, Tome 162 (2004) pp. 269-302. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm161-3-4/