Norm convergence of Fejér means of two-dimensional Walsh–Fourier series
Volume 95 / 2011
Banach Center Publications 95 (2011), 317-324
MSC: 42C10.
DOI: 10.4064/bc95-0-18
Abstract
The main aim of this paper is to prove that there exists a martingale $f\in H_{1/2}$ such that the Fejér means of the two-dimensional Walsh–Fourier series of $f$ is not uniformly bounded in the space weak-$L_{1/2}$.
