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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 1975 Volume 18, Issue 1, Pages 63–66 (Mi mzm7626)

This article is cited in 1 paper

Moduli of continuity and rearrangements

Yu. A. Brudnyi


Abstract: It is proved that the modulus of continuity of a function in $L_p(0,1)$ majorizes the modulus of continuity of its decreasing rearrangement.

UDC: 517.5

Received: 09.07.1973


 English version:
Mathematical Notes, 1975, 18:1, 619–621

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© Steklov Math. Inst. of RAS, 2024