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

• Autorzy: M. I. Dyachenko , K. S. Kazarian
• Języki publikacji: EN

Abstrakty

EN

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 λ-restricted convergence. We continue the study begun in a previous work.

Kategorie tematyczne

• 40B05: Multiple sequences and series (should also be assigned at least one other classification number in this section)
• 42B08: Summability

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2003
• Tom: 159
• Numer: 1
• Strony: 33-50

Daty

wydano

2003

Twórcy

autor

M. I. Dyachenko

• Departamento de Matemáticas, C-XV, Universidad Autónoma de Madrid, 28049 Madrid, Spain
• Department of Function Theory, Faculty of Mechanics and Mathematics, Moscow State University, Vorobevy Gory, 119899 Moscow, Russia

autor

K. S. Kazarian

• Institute of Mathematics, National Academy of Sciences, Marshal Bagramyan Av. 24-B, 375019 Yerevan, Armenia

Identyfikatory

DOI

10.4064/sm159-1-2