The haar wavelets and the haar scaling function in weighted Lp spaces with Ady, m p weights

Mitsuo Izuki

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8 Citations (Scopus)


The new class of weights called Ady, m p weights is introduced. We prove that a characterization and an unconditional basis of the weighted Lp space Lp(Rn, w(x)dx) with w ∈ Ady, m p (1 < p < ∞) are given by the Haar wavelets and the Haar scaling function. As an application of these results, we establish a greedy basis by using the Haar wavelets and the Haar scaling function again.

Original languageEnglish
Pages (from-to)417-444
Number of pages28
JournalHokkaido Mathematical Journal
Issue number2
Publication statusPublished - Jan 1 2007
Externally publishedYes



  • A weight
  • Greedy basis
  • The haar scaling function
  • The haar wavelets
  • Weighted L space

ASJC Scopus subject areas

  • Mathematics(all)

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