Divergence of general operators on sets of measure zero
Colloquium Mathematicae (2010)
- Volume: 121, Issue: 1, page 113-119
- ISSN: 0010-1354
Access Full Article
top
Abstract
topHow to cite
topG. A. Karagulyan. "Divergence of general operators on sets of measure zero." Colloquium Mathematicae 121.1 (2010): 113-119. <http://eudml.org/doc/283549>.
@article{G2010,
abstract = {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 $Uₙ_\{G\}(x)$ 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.},
author = {G. A. Karagulyan},
journal = {Colloquium Mathematicae},
keywords = {general operators; localization property; divergence on a set; divergence of Fourier series},
language = {eng},
number = {1},
pages = {113-119},
title = {Divergence of general operators on sets of measure zero},
url = {http://eudml.org/doc/283549},
volume = {121},
year = {2010},
}
TY - JOUR
AU - G. A. Karagulyan
TI - Divergence of general operators on sets of measure zero
JO - Colloquium Mathematicae
PY - 2010
VL - 121
IS - 1
SP - 113
EP - 119
AB - 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 $Uₙ_{G}(x)$ 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.
LA - eng
KW - general operators; localization property; divergence on a set; divergence of Fourier series
UR - http://eudml.org/doc/283549
ER -
NotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.