Strong convergence of two-dimensional Walsh-Fourier series

We prove that certain mean of the quadratical partial sums of the two-dimensional Walsh-Fourier series are uniformly bounded operators from the Hardy space $H_{p}$ to the space $L_{p}$ for $0<p<1.$Comment: Walsh system, Strong convergence, martingale Hardy space. arXiv admin note: text overlap with arXiv:1309.7548, arXiv:1310.8212 by other author

Volume 4, Number 8 - May 1924

Volume 4, Number 8 - May 1924. 40 pages including covers and advertisements. Contents Vonnery, Francis, Death Callahan, Albert J., John Francis Walsh Fratus, Frederick J., Arthur Ernest Cannon Halloran, John J., Joseph Bernard Walsh Keleher, James F., Prayer Barry, T. Henry, The Observer The Hotchpotch Editorials Holohan, Edward V., College Chronicle Mitchell, Joseph V., Alumni Lynch, James H., Exchange Bradley, Howard F., Athletic