Divergence of general localized operators on the sets of measure zero
Classical Analysis and ODEs
2009-12-09 v1
Abstract
We consider sequences of linear operators with localization property. It is proved that for any set of measure zero there exists a set for which diverges at each point . This result is a generalization of analogous theorems known for the Fourier sums operators with respect to different orthogonal systems.
Cite
@article{arxiv.0912.1453,
title = {Divergence of general localized operators on the sets of measure zero},
author = {G. A. Karagulyan},
journal= {arXiv preprint arXiv:0912.1453},
year = {2009}
}
Comments
6 pages