The maximal operator of the Fejér means of the character system of the p-series field in the Kaczmarz rearrangement

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29 Citations (Scopus)

Abstract

The main aim of this paper is to prove that the maximal operator σ*χ of the Fejér means of the character system of the p-series field in the Kaczmarz rearrangement is bounded from the Hardy space H1/2 to the space weak-L1/2 and is not bounded from the Hardy space H1/2 (Gp) to the space L 1/2(GP).

Original languageEnglish
Pages (from-to)43-55
Number of pages13
JournalPublicationes Mathematicae Debrecen
Volume71
Issue number1-2
Publication statusPublished - 2007
Externally publishedYes

Keywords

  • Character system
  • Weak type inequality

ASJC Scopus subject areas

  • General Mathematics

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