We prove the following corrections theorem: Any function f on the circle T that is bounded by an α 1-weight w (which means that Mw 2 ≥ Cw 2) can be modified on a set e with so that its quadratic function built up from an arbitrary sequence of nonintersecting intervals in ℤ will not exceed C log 1/εw. Bibliography: 11 titles.

Original languageEnglish
Pages (from-to)714-723
Number of pages10
JournalJournal of Mathematical Sciences
Volume182
Issue number5
DOIs
StatePublished - 1 May 2012

    Scopus subject areas

  • Statistics and Probability
  • Mathematics(all)
  • Applied Mathematics

ID: 35959374