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

Mitsuo Izuki

doi:10.14492/hokmj/1277472811

The haar wavelets and the haar scaling function in weighted L^p spaces with A^{dy, m}_p weights

Mitsuo Izuki

Graduate School of Education

Research output: Contribution to journal › Article

8 Citations (Scopus)

Abstract

The new class of weights called A^{dy, m}_p weights is introduced. We prove that a characterization and an unconditional basis of the weighted L^p space L^p(Rⁿ, w(x)dx) with w ∈ A^{dy, 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 language	English
Pages (from-to)	417-444
Number of pages	28
Journal	Hokkaido Mathematical Journal
Volume	36
Issue number	2
DOIs	https://doi.org/10.14492/hokmj/1277472811
Publication status	Published - Jan 1 2007

Keywords

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

ASJC Scopus subject areas

Mathematics(all)

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Izuki, M. (2007). The haar wavelets and the haar scaling function in weighted L^p spaces with A^{dy, m}_p weights. Hokkaido Mathematical Journal, 36(2), 417-444. https://doi.org/10.14492/hokmj/1277472811

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