Divergence of general operators on sets of measure zero
G. A. Karagulyan
Colloquium Mathematicae, Tome 120 (2010), p. 113-119 / Harvested from The Polish Digital Mathematics Library
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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 UₙG(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.

Publié le : 2010-01-01
EUDML-ID : urn:eudml:doc:283549 
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G. A. Karagulyan. Divergence of general operators on sets of measure zero. Colloquium Mathematicae, Tome 120 (2010) pp. 113-119. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm121-1-10/