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Translated from Matematicheskie Zametki, Vol. 41, No. 5, pp. 682–686, May, 1987.
The author thanks S. B. Stechkin and V. A. Yudin for discussing the results of this note, and S. A. Pichugov for drawing the author's attention to [8].
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Ivanov, V.I. The modulus of continuity in Lp . Mathematical Notes of the Academy of Sciences of the USSR 41, 382–385 (1987). https://doi.org/10.1007/BF01159862
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DOI: https://doi.org/10.1007/BF01159862