2017
Том 69
№ 6

All Issues

Strong Convergence of Two-Dimensional Walsh–Fourier Series

Tephnadze G.

Full text (.pdf)


Abstract

We prove that certain means of quadratic partial sums of the two-dimensional Walsh–Fourier series are uniformly bounded operators acting from the Hardy space H p to the space L p for 0 < p < 1.

English version (Springer): Ukrainian Mathematical Journal 65 (2013), no. 6, pp 914-927.

Citation Example: Tephnadze G. Strong Convergence of Two-Dimensional Walsh–Fourier Series // Ukr. Mat. Zh. - 2013. - 65, № 6. - pp. 822–834.

Full text