Title of article
Weighted norm inequalities of Bochner–Riesz means
Author/Authors
Ming-Yi Lee، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2006
Pages
8
From page
1274
To page
1281
Abstract
Let w be a Muckenhoupt weight and H
p
w(Rn) be the weighted Hardy spaces. We use the atomic decomposition
of H
p
w(Rn) and their molecular characters to show that the Bochner–Riesz means TδR
are bounded
on H
p
w(Rn) for 0
max{n/p − (n + 1)/2, [n/p]rw(rw − 1)−1 − (n + 1)/2}, where rw is the critical index of w for the reverse Hölder condition. We also prove the H p w − L p w boundedness of the maximal Bochner–Riesz means T δ ∗ for 0
n/p −(n +1)/2. © 2006 Elsevier Inc. All rights reserved.
Keywords
Ap weights , Atomic decomposition , Bochner–Riesz means , Molecular characterization , Weighted Hardyspaces
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2006
Journal title
Journal of Mathematical Analysis and Applications
Record number
935071
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