U. Goginava

On the Uniform Convergence and $L$-Convergence of Double Fourier Series With Respect to the Walsh-Kaczmarz System

In this paper we study the approximation by rectangular partial sums of a double Fourier series with respect to the Walsh-Kaczmarz system in the spaces $C$ and $L$. From our results we obtain different criteria of the uniform convergence and $L$-convergence of a double Fourier-Kaczmarz series.