Divergence of general operators on sets of measure zero

• Autorzy: G. A. Karagulyan
• Języki publikacji: EN

Abstrakty

EN

We consider sequences of linear operators Uₙ with a localization property. It is proved that for any set E of measure zero there exists a set G for which $Uₙ𝕀_{G}(x)$ diverges at each point x ∈ E. This result is a generalization of analogous theorems known for the Fourier sum operators with respect to different orthogonal systems.

Kategorie tematyczne

• 42A20: Convergence and absolute convergence of Fourier and trigonometric series

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2010
• Tom: 121
• Numer: 1
• Strony: 113-119

Daty

wydano

2010

Twórcy

autor

G. A. Karagulyan

• Institute of Mathematics of Armenian National Academy of Sciences, Baghramian Ave. 24b, 0019 Yerevan, Armenia

Identyfikatory

DOI

10.4064/cm121-1-10