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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2016, Number 4, Pages 23–33
(Mi vmumm163)
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This article is cited in 1 scientific paper (total in 1 paper)
Mathematics
Convergence of products of operator orientations
D. V. Fufaev Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Abstract:
The paper deals with the generalizations of Jessen–Marzinkevich–Zygmund theorem on differentiation for the case of nets of operators with sufficiently general form acting on functions in abstract measurable spaces. The result is applied to some examples arising in the classic harmonic analysis.
Key words:
convergence almost everywhere, projective tensor product, tensor product of operators.
Received: 27.11.2015
Citation:
D. V. Fufaev, “Convergence of products of operator orientations”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2016, no. 4, 23–33; Moscow University Mathematics Bulletin, 71:4 (2016), 151–160
Linking options:
https://www.mathnet.ru/eng/vmumm163 https://www.mathnet.ru/eng/vmumm/y2016/i4/p23
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