Wydawnictwa / Banach Center Publications / Wszystkie tomy

Norm convergence of Fejér means of two-dimensional Walsh–Fourier series

Tom 95 / 2011

Banach Center Publications 95 (2011), 317-324 MSC: 42C10. DOI: 10.4064/bc95-0-18

Streszczenie

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-$L_{1/2}$.

Autorzy

• Ushangi GoginavaInstitute of Mathematics
Faculty of Exact and Natural Sciences
Tbilisi State University