Boundedness of fractional integral operators with rough kernels on weighted Morrey spaces
Abstract
Let
M
Ω,α
and
T
Ω,α
be the fractional maximal and integral operators with rough kernels, where
0<α<n
. In this paper, we shall study the continuity properties of
M
Ω,α
and
T
Ω,α
on the weighted Morrey spaces
L
p,κ
(w)
. The boundedness of their commutators with BMO functions is also obtained.