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Mathematical Notes

, Volume 52, Issue 3, pp 918–930 | Cite as

Convergence of subsequences of partial cubic sums of Fourier series in mean and almost everywhere

  • S. V. Konyagin
Article
  • 51 Downloads

Abstract

Under certain assumptions on the regularity of a function Φ necessary and sufficient conditions are found for Φ under which the integrability of Φ(¦f¦) implies, for every function f measurable onTd, the existence of a subsequence of cubic sums of the Fourier series of f that converges to f in mean or almost everywhere.

Keywords

Fourier Fourier Series 
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Copyright information

© Plenum Publishing Corporation 1993

Authors and Affiliations

  • S. V. Konyagin
    • 1
  1. 1.M. V. Lomonosov Moscow State UniversityUSSR

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