Weighted Boundedness of Commutators of Fractional Hardy Operators with Besov-Lipschitz Functions
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@Article{ATA-28-79,
author = {},
title = {Weighted Boundedness of Commutators of Fractional Hardy Operators with Besov-Lipschitz Functions},
journal = {Analysis in Theory and Applications},
year = {2012},
volume = {28},
number = {1},
pages = {79--86},
abstract = {
In this paper, we establish two weighted integral inequalities for commutators of fractional Hardy operators with Besov-Lipschitz functions. The main result is that this kind of commutator, denoted by $H^{\alpha}_b$, is bounded from $L^p_{x^\gamma} (R_+)$ to $L^q_{x^\delta} (R_+)$ with the bound explicitly worked out.
}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.2012.v28.n1.10}, url = {http://global-sci.org/intro/article_detail/ata/4544.html} }
TY - JOUR
T1 - Weighted Boundedness of Commutators of Fractional Hardy Operators with Besov-Lipschitz Functions
JO - Analysis in Theory and Applications
VL - 1
SP - 79
EP - 86
PY - 2012
DA - 2012/03
SN - 28
DO - http://doi.org/10.4208/ata.2012.v28.n1.10
UR - https://global-sci.org/intro/article_detail/ata/4544.html
KW - fractional Hardy operator, commutator, Besov-Lipschitz function.
AB -
In this paper, we establish two weighted integral inequalities for commutators of fractional Hardy operators with Besov-Lipschitz functions. The main result is that this kind of commutator, denoted by $H^{\alpha}_b$, is bounded from $L^p_{x^\gamma} (R_+)$ to $L^q_{x^\delta} (R_+)$ with the bound explicitly worked out.
Shimo Wang & Dunyan Yan. (1970). Weighted Boundedness of Commutators of Fractional Hardy Operators with Besov-Lipschitz Functions.
Analysis in Theory and Applications. 28 (1).
79-86.
doi:10.4208/ata.2012.v28.n1.10
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