TY - JOUR
T1 - Weighted Boundedness of Commutators of Fractional Hardy Operators with Besov-Lipschitz Functions
AU - Shimo Wang & Dunyan Yan
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 - <p style="text-align: justify;">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.</p>