We investigate some convergence and divergence properties of the logarithmic means of quadratic partial sums of double Fourier series of functions, in measure and in the L Lebesgue norm.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm131-1-9,
author = {Ushangi Goginava},
title = {Convergence of logarithmic means of quadratic partial sums of double Fourier series},
journal = {Colloquium Mathematicae},
volume = {131},
year = {2013},
pages = {99-112},
zbl = {1278.42008},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm131-1-9}
}
Ushangi Goginava. Convergence of logarithmic means of quadratic partial sums of double Fourier series. Colloquium Mathematicae, Tome 131 (2013) pp. 99-112. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm131-1-9/