Negative results concerning Fourier series on the complete product of .
Non-similarity of Walsh and trigonometric systems
We show that in for p ≠ 2 the constants of equivalence between finite initial segments of the Walsh and trigonometric systems have power type growth. We also show that the Riemann ideal norms connected with those systems have power type growth.
Nörlund Summability of Jacobi and Laguerre series.
Norm convergence of Fejér means of two-dimensional Walsh-Fourier series
The main aim of this paper is to prove that there exists a martingale such that the Fejér means of the two-dimensional Walsh-Fourier series of f is not uniformly bounded in the space weak-.