TY - JOUR
T1 - The haar wavelets and the haar scaling function in weighted Lp spaces with Ady, mp weights
AU - Izuki, Mitsuo
N1 - Copyright:
Copyright 2017 Elsevier B.V., All rights reserved.
PY - 2007
Y1 - 2007
N2 - The new class of weights called Ady, mp 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, mp (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.
AB - The new class of weights called Ady, mp 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, mp (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.
KW - A weight
KW - Greedy basis
KW - The haar scaling function
KW - The haar wavelets
KW - Weighted L space
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U2 - 10.14492/hokmj/1277472811
DO - 10.14492/hokmj/1277472811
M3 - Article
AN - SCOPUS:70350289363
VL - 36
SP - 417
EP - 444
JO - Hokkaido Mathematical Journal
JF - Hokkaido Mathematical Journal
SN - 0385-4035
IS - 2
ER -