Maximal (C, α, β) operators of two-dimensional walsh-fourier series

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3 Citations (Scopus)

Abstract

The main aim of this paper is to prove that for the boundedness of the maximal operator σ*α,β from the Hardy space Hp (I2) to the space Lp (I2) the assumption p > max {1/ (α + 1), 1/ (β + 1)} is essential.

Original languageEnglish
Pages (from-to)209-214
Number of pages6
JournalActa Mathematica Academiae Paedagogicae Nyiregyhaziensis
Volume24
Issue number2
Publication statusPublished - 2008
Externally publishedYes

Keywords

  • Hardy space
  • Maximal operator
  • Walsh function

ASJC Scopus subject areas

  • General Mathematics
  • Education

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