# Wydawnictwa / Czasopisma IMPAN / Studia Mathematica / Wszystkie zeszyty

## A sharp estimate of the measure of the set of divergence of multiple orthogonal Fourier series

### Tom 159 / 2003

Studia Mathematica 159 (2003), 33-50 MSC: Primary 42B08; Secondary 40B05. DOI: 10.4064/sm159-1-2

#### Streszczenie

The aim of this paper is to obtain sharp estimates from below of the measure of the set of divergence of the $m$-fold Fourier series with respect to uniformly bounded orthonormal systems for the so-called $G$-convergence and $\lambda$-restricted convergence. We continue the study begun in a previous work.

#### Autorzy

• M. I. DyachenkoDepartamento de Matemáticas, C-XV
and
Department of Function Theory
Faculty of Mechanics and Mathematics
Moscow State University
Vorobevy Gory
119899 Moscow, Russia
• K. S. KazarianInstitute of Mathematics