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/