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Convergence of products of operator orientations

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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.

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Authors and Affiliations

  1. Moscow State University, Faculty of Mechanics and Mathematics, Leninskie Gory, Moscow, 119991, Russia

    D. V. Fufaev

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  1. D. V. Fufaev
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Correspondence to D. V. Fufaev.

Additional information

Original Russian Text © D.V. Fufaev, 2016, published in Vestnik Moskovskogo Universiteta, Matematika. Mekhanika, 2016, Vol. 71, No. 4, pp. 23–33.

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Fufaev, D.V. Convergence of products of operator orientations. Moscow Univ. Math. Bull. 71, 151–160 (2016). https://doi.org/10.3103/S0027132216040045

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  • DOI: https://doi.org/10.3103/S0027132216040045

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