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Majorant operators of strong summation of Fourier series

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Inequalities of weak type (1, 1) are established for the operators that are majorant for strong means of the Fourier series in the trigonometric and the Walsh systems.

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Literature cited

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    B. I. Golubov, A. V. Efimov, and V. A. Skvortsov, Walsh Series and Transforms [in Russian], Nauka, Moscow (1987).

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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 42, No. 5, pp. 710–713, May, 1990.

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Rodin, V.A. Majorant operators of strong summation of Fourier series. Ukr Math J 42, 628–630 (1990). https://doi.org/10.1007/BF01065072

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  • Fourier Series
  • Weak Type
  • Majorant Operator
  • Walsh System
  • Strong Summation