A sharp estimate of the measure of the set of divergence of multiple orthogonal Fourier series
M. I. Dyachenko ; K. S. Kazarian
Studia Mathematica, Tome 157 (2003), p. 33-50 / Harvested from The Polish Digital Mathematics Library

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.

Publié le : 2003-01-01
EUDML-ID : urn:eudml:doc:284676
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     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}
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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/