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/