Email this article Convergence of products of operator orientations
- Authors: Fufaev D.V.1
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Affiliations:
- Moscow State University
- Issue: Vol 71, No 4 (2016)
- Pages: 151-160
- Section: Article
- URL: https://journal-vniispk.ru/0027-1322/article/view/164360
- DOI: https://doi.org/10.3103/S0027132216040045
- ID: 164360
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Abstract
The paper deals with generalizations of the Jessen–Marcinkiewicz–Zygmund theorem on differentiation for the case of nets of operators of sufficiently general form acting on functions in abstract measurable spaces. The result is applied to some examples arising in the classic harmonic analysis.
About the authors
D. V. Fufaev
Moscow State University
Author for correspondence.
Email: fufaevdv@rambler.ru
Russian Federation, Leninskie Gory, Moscow, 119991
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