The new class of weights called $A_p^{\dy ,m}$ weights is introduced. We prove that a characterization and an unconditional basis of the weighted $L^p$ space
$L^p(\mathbb R^n , w(x)dx)$ with $w \in A_p^{\dy ,m}$ $(1
Publié le : 2007-05-15
Classification:
The Haar wavelets,
the Haar scaling function,
weighted $L^p$ space,
$A_p^{\dy ,m}$ weight,
greedy basis,
46B15,
42C40,
42C15,
42B35
@article{1277472811,
author = {IZUKI, Mitsuo},
title = {The Haar wavelets and the Haar scaling function in weighted $L^p$ spaces with $A\_p^{\dy ,m}$ weights},
journal = {Hokkaido Math. J.},
volume = {36},
number = {4},
year = {2007},
pages = { 417-444},
language = {en},
url = {http://dml.mathdoc.fr/item/1277472811}
}
IZUKI, Mitsuo. The Haar wavelets and the Haar scaling function in weighted $L^p$ spaces with $A_p^{\dy ,m}$ weights. Hokkaido Math. J., Tome 36 (2007) no. 4, pp. 417-444. http://gdmltest.u-ga.fr/item/1277472811/