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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).
Ferenc Weisz. "Strong summability of Ciesielski-Fourier series." Studia Mathematica 161.3 (2004): 269-302. <http://eudml.org/doc/285333>.
@article{FerencWeisz2004, abstract = {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).}, author = {Ferenc Weisz}, journal = {Studia Mathematica}, keywords = {strong summability; Ciesielski-system; weak type inequality; Fejér means; Walsh system}, language = {eng}, number = {3}, pages = {269-302}, title = {Strong summability of Ciesielski-Fourier series}, url = {http://eudml.org/doc/285333}, volume = {161}, year = {2004}, }
TY - JOUR AU - Ferenc Weisz TI - Strong summability of Ciesielski-Fourier series JO - Studia Mathematica PY - 2004 VL - 161 IS - 3 SP - 269 EP - 302 AB - 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). LA - eng KW - strong summability; Ciesielski-system; weak type inequality; Fejér means; Walsh system UR - http://eudml.org/doc/285333 ER -