Title of article :
Weighted weak type inequalities for modified
Hardy operators and geometric means operators
in dimensions one and greater
Author/Authors :
Pedro Ortega Salvador ?، نويسنده , , Consuelo Ram?rez Torreblanca، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2007
Pages :
15
From page :
593
To page :
607
Abstract :
We characterize the pairs of weights (u, v) such that the geometric mean operator G1, defined for positive
functions f on (0,∞) by
G1f (x) = exp 1
x
x
0
log f ,
verifies the weak type inequality
{x∈(0,∞): G1f (x)>λ}
u
1
q C
λ ∞
0
f pv
1
p
in the case 0
Keywords :
Weighted inequalities , Modified Hardy operators , Weights , Geometric mean operator , Weak type inequalities , Hardy operators
Journal title :
Journal of Mathematical Analysis and Applications
Serial Year :
2007
Journal title :
Journal of Mathematical Analysis and Applications
Record number :
936287
Link To Document :
