Author:
Sultan Babar,Sultan Mehvish
Abstract
UDC 517.5
The higher-order commutators of fractional Hardy-type operators of variable order
ζ
(
z
)
are shown to be bounded from the grand variable Herz spaces
K
˙
p
(
⋅
)
a
(
⋅
)
,
u
)
,
θ
(
ℝ
n
)
into the weighted space
K
˙
ρ
,
q
(
⋅
)
a
(
⋅
)
,
u
)
,
θ
(
ℝ
n
)
,
where
ρ
=
(
1
+
|
z
1
|
)
-
λ
and
1
q
(
z
)
=
1
p
(
z
)
-
ζ
(
z
)
n
if
p
(
z
)
is not necessarily constant at infinity.
Publisher
SIGMA (Symmetry, Integrability and Geometry: Methods and Application)