Abstract
UDC 517.5
We obtain some necessary and sufficient conditions for a weighted weak-type inequality of the form
∫
{
M
g
+
(
f
)
>
λ
}
φ
˜
(
λ
ω
3
(
x
)
ω
4
(
x
)
)
ω
4
(
x
)
ⅆ
x
≤
C
1
∫
-
∞
+
∞
φ
˜
(
C
1
|
f
(
x
)
|
ω
1
(
x
)
ω
2
(
x
)
)
ω
2
(
x
)
ⅆ
x
to be true, which generalize some known results.
Publisher
SIGMA (Symmetry, Integrability and Geometry: Methods and Application)
Subject
General Earth and Planetary Sciences,General Engineering,General Environmental Science