The aim of this paper is to obtain sharp estimates from below of the measure of the set of divergence of the m-fold Fourier series with respect to uniformly bounded orthonormal systems for the so-called G-convergence and λ-restricted convergence. We continue the study begun in a previous work.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm159-1-2, author = {M. I. Dyachenko and K. S. Kazarian}, title = {A sharp estimate of the measure of the set of divergence of multiple orthogonal Fourier series}, journal = {Studia Mathematica}, volume = {157}, year = {2003}, pages = {33-50}, zbl = {1071.42019}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm159-1-2} }
M. I. Dyachenko; K. S. Kazarian. A sharp estimate of the measure of the set of divergence of multiple orthogonal Fourier series. Studia Mathematica, Tome 157 (2003) pp. 33-50. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm159-1-2/