We costruct functions in () whose Fourier integral expansions are almost everywhere non-summable with respect to the Bochner-Riesz means of the critical order.
@article{bwmeta1.element.bwnjournal-article-smv118i3p261bwm, author = {Shuichi Sato}, title = {Divergence of the Bochner-Riesz means in the weighted Hardy spaces}, journal = {Studia Mathematica}, volume = {119}, year = {1996}, pages = {261-275}, zbl = {0904.42010}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv118i3p261bwm} }
Sato, Shuichi. Divergence of the Bochner-Riesz means in the weighted Hardy spaces. Studia Mathematica, Tome 119 (1996) pp. 261-275. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv118i3p261bwm/
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