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

• Autorzy: Ushangi Goginava
• Języki publikacji: EN

Abstrakty

EN

The main aim of this paper is to prove that there exists a martingale $f ∈ H_{1/2}$ such that the Fejér means of the two-dimensional Walsh-Fourier series of f is not uniformly bounded in the space weak-$L_{1/2}$.

Kategorie tematyczne

• 42C10: Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2011
• Tom: 95
• Numer: 1
• Strony: 317-324

Daty

wydano

2011

Twórcy

autor

Ushangi Goginava

• Institute of Mathematics, Faculty of Exact and Natural Sciences, Tbilisi State University, Chavchavadze str. 1, Tbilisi 0128, Georgia

Identyfikatory

DOI

10.4064/bc95-0-18